LCM for 48 and 52

What's the Least Common Multiple (LCM) of 48 and 52?

Answer: LCM of 48 and 52 is 624

(Six hundred twenty-four)

Finding LCM for 48 and 52 using GCF's of these numbers

The first method to find LCM for numbers 48 and 52 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 52 is 4, so

LCM = (48 × 52) ÷ 4

LCM = 2496 ÷ 4

LCM = 624

Finding LCM for 48 and 52 by Listing Multiples

The second method to find LCM for numbers 48 and 52 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720

Multiples of 52: 52, 104, 156, 208, 260, 312, 364, 416, 468, 520, 572, 624, 676, 728

So the LCM for 48 and 52 is 624

Finding LCM for 48 and 52 by Prime Factorization

Another method to find LCM for numbers 48 and 52 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)

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

24 × 31 × 131 = 624

Related Calculations

See Also

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 48 and 52? (The answer is: 624). Select the first number (e.g. '48') 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

LCM Table

Number 1Number 2LCM
33521716
3452884
35521820
3652
37521924
3852988
3952
4052520
41522132
42521092
43522236
4452572
45522340
46521196
47522444
4852
49522548
50521300
51522652
525252
53522756
54521404
55522860
5652728
57522964
58521508
59523068
6052780
61523172
62521612

FAQ

What's the Least Common Multiple (LCM) of 48 and 52?

LCM of 48 and 52 is 624