What is the Least Common Multiple of 79647 and 79651?
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 79647 and 79651 is 6343963197.
LCM(79647,79651) = 6343963197
Least Common Multiple of 79647 and 79651 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79647 and 79651, than apply into the LCM equation.
GCF(79647,79651) = 1
LCM(79647,79651) = ( 79647 × 79651) / 1
LCM(79647,79651) = 6343963197 / 1
LCM(79647,79651) = 6343963197
Least Common Multiple (LCM) of 79647 and 79651 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79647 and 79651. First we will calculate the prime factors of 79647 and 79651.
Prime Factorization of 79647
Prime factors of 79647 are 3, 139, 191. Prime factorization of 79647 in exponential form is:
79647 = 31 × 1391 × 1911
Prime Factorization of 79651
Prime factors of 79651 are 11, 13, 557. Prime factorization of 79651 in exponential form is:
79651 = 111 × 131 × 5571
Now multiplying the highest exponent prime factors to calculate the LCM of 79647 and 79651.
LCM(79647,79651) = 31 × 1391 × 1911 × 111 × 131 × 5571
LCM(79647,79651) = 6343963197
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