LCM for 45 and 52

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 45 and 52?

Answer

LCM of 45 and 52 is 2,340

(Two thousand, three hundred forty)

Finding LCM for 45 and 52 using GCF of these numbers

The first method to find LCM for numbers 45 and 52 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 45 and 52 is 1, so

LCM = (45 × 52) ÷ 1

LCM = 2340 ÷ 1

LCM = 2340

Finding LCM for 45 and 52 by Listing Multiples

The second method to find LCM for numbers 45 and 52 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720, 765, 810, 855, 900, 945, 990, 1035, 1080, 1125, 1170, 1215, 1260, 1305, 1350, 1395, 1440, 1485, 1530, 1575, 1620, 1665, 1710, 1755, 1800, 1845, 1890, 1935, 1980, 2025, 2070, 2115, 2160, 2205, 2250, 2295, 2340, 2385, 2430

Multiples of 52: 52, 104, 156, 208, 260, 312, 364, 416, 468, 520, 572, 624, 676, 728, 780, 832, 884, 936, 988, 1040, 1092, 1144, 1196, 1248, 1300, 1352, 1404, 1456, 1508, 1560, 1612, 1664, 1716, 1768, 1820, 1872, 1924, 1976, 2028, 2080, 2132, 2184, 2236, 2288, 2340, 2392, 2444

So the LCM for 45 and 52 is 2340

Finding LCM for 45 and 52 by Prime Factorization

Another method to find LCM for numbers 45 and 52 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)

All Prime Factors of 52: 2, 2, 13 (exponent form: 22, 131)

32 × 51 × 22 × 131 = 2340

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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 45 and 52? (The answer is: 2340). Select the first number (e.g. '45') and the second number (e.g. '52'). 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
3052780
31521612
3252416
33521716
3452884
35521820
3652468
37521924
3852988
3952156
4052520
41522132
42521092
43522236
4452572
45522340
46521196
47522444
4852624
49522548
50521300
51522652
525252
53522756
54521404
55522860
5652728
57522964
58521508
59523068

FAQ

What's the Least Common Multiple (LCM) of 45 and 52?

LCM of 45 and 52 is 2,340

How to find the LCM of 45 and 52 using prime factorization?

To find the LCM of 45 and 52, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,340.

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 45 and 52: LCM = 2,340, GCF = 1.

See Also