What is the Least Common Multiple of 79629 and 79647?

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 of 79629 and 79647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79629 and 79647, than apply into the LCM equation.

GCF(79629,79647) = 3
LCM(79629,79647) = ( 79629 × 79647) / 3
LCM(79629,79647) = 6342210963 / 3
LCM(79629,79647) = 2114070321

Least Common Multiple (LCM) of 79629 and 79647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79629 and 79647. First we will calculate the prime factors of 79629 and 79647.

Prime Factorization of 79629

Prime Factorization of 79647

Now multiplying the highest exponent prime factors to calculate the LCM of 79629 and 79647.

LCM(79629,79647) = 3¹ × 11¹ × 19¹ × 127¹ × 139¹ × 191¹
LCM(79629,79647) = 2114070321