What is the Least Common Multiple of 12624 and 12632?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 12624 and 12632 is 19933296.
LCM(12624,12632) = 19933296
Least Common Multiple of 12624 and 12632 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12624 and 12632, than apply into the LCM equation.
GCF(12624,12632) = 8
LCM(12624,12632) = ( 12624 × 12632) / 8
LCM(12624,12632) = 159466368 / 8
LCM(12624,12632) = 19933296
Least Common Multiple (LCM) of 12624 and 12632 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12624 and 12632. First we will calculate the prime factors of 12624 and 12632.
Prime Factorization of 12624
Prime factors of 12624 are 2, 3, 263. Prime factorization of 12624 in exponential form is:
12624 = 24 × 31 × 2631
Prime Factorization of 12632
Prime factors of 12632 are 2, 1579. Prime factorization of 12632 in exponential form is:
12632 = 23 × 15791
Now multiplying the highest exponent prime factors to calculate the LCM of 12624 and 12632.
LCM(12624,12632) = 24 × 31 × 2631 × 15791
LCM(12624,12632) = 19933296
Related Least Common Multiples of 12624
- LCM of 12624 and 12628
- LCM of 12624 and 12629
- LCM of 12624 and 12630
- LCM of 12624 and 12631
- LCM of 12624 and 12632
- LCM of 12624 and 12633
- LCM of 12624 and 12634
- LCM of 12624 and 12635
- LCM of 12624 and 12636
- LCM of 12624 and 12637
- LCM of 12624 and 12638
- LCM of 12624 and 12639
- LCM of 12624 and 12640
- LCM of 12624 and 12641
- LCM of 12624 and 12642
- LCM of 12624 and 12643
- LCM of 12624 and 12644
Related Least Common Multiples of 12632
- LCM of 12632 and 12636
- LCM of 12632 and 12637
- LCM of 12632 and 12638
- LCM of 12632 and 12639
- LCM of 12632 and 12640
- LCM of 12632 and 12641
- LCM of 12632 and 12642
- LCM of 12632 and 12643
- LCM of 12632 and 12644
- LCM of 12632 and 12645
- LCM of 12632 and 12646
- LCM of 12632 and 12647
- LCM of 12632 and 12648
- LCM of 12632 and 12649
- LCM of 12632 and 12650
- LCM of 12632 and 12651
- LCM of 12632 and 12652