LCM for 52 and 76
What's the Least Common Multiple (LCM) of 52 and 76?
(Nine hundred eighty-eight)
Finding LCM for 52 and 76 using GCF's of these numbers
The first method to find LCM for numbers 52 and 76 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 52 and 76 is 4, so
LCM = (52 × 76) ÷ 4
LCM = 3952 ÷ 4
LCM = 988
Finding LCM for 52 and 76 by Listing Multiples
The second method to find LCM for numbers 52 and 76 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 52: 52, 104, 156, 208, 260, 312, 364, 416, 468, 520, 572, 624, 676, 728, 780, 832, 884, 936, 988, 1040, 1092
Multiples of 76: 76, 152, 228, 304, 380, 456, 532, 608, 684, 760, 836, 912, 988, 1064, 1140
So the LCM for 52 and 76 is 988
Finding LCM for 52 and 76 by Prime Factorization
Another method to find LCM for numbers 52 and 76 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 52: 2, 2, 13 (exponent form: 22, 131)
All Prime Factors of 76: 2, 2, 19 (exponent form: 22, 191)
22 × 131 × 191 = 988
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
37 | 76 | 2812 |
38 | 76 | 76 |
39 | 76 | 2964 |
40 | 76 | 760 |
41 | 76 | 3116 |
42 | 76 | 1596 |
43 | 76 | 3268 |
44 | 76 | 836 |
45 | 76 | 3420 |
46 | 76 | 1748 |
47 | 76 | 3572 |
48 | 76 | 912 |
49 | 76 | 3724 |
50 | 76 | 1900 |
51 | 76 | 3876 |
52 | 76 | 988 |
53 | 76 | 4028 |
54 | 76 | 2052 |
55 | 76 | 4180 |
56 | 76 | 1064 |
57 | 76 | 228 |
58 | 76 | 2204 |
59 | 76 | 4484 |
60 | 76 | 1140 |
61 | 76 | 4636 |
62 | 76 | 2356 |
63 | 76 | 4788 |
64 | 76 | 1216 |
65 | 76 | 4940 |
66 | 76 | 2508 |
About "Least Common Multiple" Calculator
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