What is the Least Common Multiple of 79627 and 79646?
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 79627 and 79646 is 6341972042.
LCM(79627,79646) = 6341972042
Least Common Multiple of 79627 and 79646 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79627 and 79646, than apply into the LCM equation.
GCF(79627,79646) = 1
LCM(79627,79646) = ( 79627 × 79646) / 1
LCM(79627,79646) = 6341972042 / 1
LCM(79627,79646) = 6341972042
Least Common Multiple (LCM) of 79627 and 79646 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79627 and 79646. First we will calculate the prime factors of 79627 and 79646.
Prime Factorization of 79627
Prime factors of 79627 are 79627. Prime factorization of 79627 in exponential form is:
79627 = 796271
Prime Factorization of 79646
Prime factors of 79646 are 2, 7, 5689. Prime factorization of 79646 in exponential form is:
79646 = 21 × 71 × 56891
Now multiplying the highest exponent prime factors to calculate the LCM of 79627 and 79646.
LCM(79627,79646) = 796271 × 21 × 71 × 56891
LCM(79627,79646) = 6341972042
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