LCM for 59 and 60

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What's the Least Common Multiple (LCM) of 59 and 60?

Answer

LCM of 59 and 60 is
3,540

(Three thousand five hundred forty)

Finding LCM for 59 and 60 using GCF of these numbers

The first method to find LCM for numbers 59 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 59 and 60 is 1, so

LCM = (59 × 60) ÷ 1

LCM = 3,540 ÷ 1

LCM = 3,540

Finding LCM for 59 and 60 by Listing Multiples

The second method to find LCM for numbers 59 and 60 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 59: 59, 118, 177, 236, 295, 354, 413, 472, 531, 590, 649, 708, 767, 826, 885, 944, 1003, 1062, 1121, 1180, 1239, 1298, 1357, 1416, 1475, 1534, 1593, 1652, 1711, 1770, 1829, 1888, 1947, 2006, 2065, 2124, 2183, 2242, 2301, 2360, 2419, 2478, 2537, 2596, 2655, 2714, 2773, 2832, 2891, 2950, 3009, 3068, 3127, 3186, 3245, 3304, 3363, 3422, 3481, 3540, 3599, 3658

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500, 1560, 1620, 1680, 1740, 1800, 1860, 1920, 1980, 2040, 2100, 2160, 2220, 2280, 2340, 2400, 2460, 2520, 2580, 2640, 2700, 2760, 2820, 2880, 2940, 3000, 3060, 3120, 3180, 3240, 3300, 3360, 3420, 3480, 3540, 3600, 3660

So the LCM for 59 and 60 is 3,540

Finding LCM for 59 and 60 by Prime Factorization

Another method to find LCM for numbers 59 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 59: 59 (exponent form: 591)

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

591 × 22 × 31 × 51 = 3,540

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 59 and 60? (The answer is: 3,540). Select the first number (e.g. '59') and the second number (e.g. '60'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
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LCM Table

Number 1Number 2LCM
59452,655
59462,714
59472,773
59482,832
59492,891
59502,950
59513,009
59523,068
59533,127
59543,186
59553,245
59563,304
59573,363
59583,422
595959
59603,540
59613,599
59623,658
59633,717
59643,776
59653,835
59663,894
59673,953
59684,012
59694,071
59704,130
59714,189
59724,248
59734,307
59744,366

FAQ

What's the Least Common Multiple (LCM) of 59 and 60?

LCM of 59 and 60 is 3,540

How to find the LCM of 59 and 60 using prime factorization?

To find the LCM of 59 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,540.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 59 and 60: LCM = 3,540, GCF = 1.

See Also