LCM for 84 and 132
What's the Least Common Multiple (LCM) of 84 and 132?
(Nine hundred twenty-four)
Finding LCM for 84 and 132 using GCF's of these numbers
The first method to find LCM for numbers 84 and 132 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 84 and 132 is 12, so
LCM = (84 × 132) ÷ 12
LCM = 11088 ÷ 12
LCM = 924
Finding LCM for 84 and 132 by Listing Multiples
The second method to find LCM for numbers 84 and 132 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 84: 84, 168, 252, 336, 420, 504, 588, 672, 756, 840, 924, 1008, 1092
Multiples of 132: 132, 264, 396, 528, 660, 792, 924, 1056, 1188
So the LCM for 84 and 132 is 924
Finding LCM for 84 and 132 by Prime Factorization
Another method to find LCM for numbers 84 and 132 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)
All Prime Factors of 132: 2, 2, 3, 11 (exponent form: 22, 31, 111)
22 × 31 × 71 × 111 = 924
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
69 | 132 | 3036 |
70 | 132 | 4620 |
71 | 132 | 9372 |
72 | 132 | 792 |
73 | 132 | 9636 |
74 | 132 | 4884 |
75 | 132 | 3300 |
76 | 132 | 2508 |
77 | 132 | 924 |
78 | 132 | 1716 |
79 | 132 | 10428 |
80 | 132 | 2640 |
81 | 132 | 3564 |
82 | 132 | 5412 |
83 | 132 | 10956 |
84 | 132 | 924 |
85 | 132 | 11220 |
86 | 132 | 5676 |
87 | 132 | 3828 |
88 | 132 | 264 |
89 | 132 | 11748 |
90 | 132 | 1980 |
91 | 132 | 12012 |
92 | 132 | 3036 |
93 | 132 | 4092 |
94 | 132 | 6204 |
95 | 132 | 12540 |
96 | 132 | 1056 |
97 | 132 | 12804 |
98 | 132 | 6468 |
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