LCM for 59 and 60

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 = 3540 ÷ 1

LCM = 3540

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 3540

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 = 3540

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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: 3540). 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

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
59452655
59462714
59472773
59482832
59492891
59502950
59513009
59523068
59533127
59543186
59553245
59563304
59573363
59583422
595959
59603540
59613599
59623658
59633717
59643776
59653835
59663894
59673953
59684012
59694071
59704130
59714189
59724248
59734307
59744366

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