What is the Least Common Multiple of 79623 and 79629?

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 79623 and 79629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79623 and 79629, than apply into the LCM equation.

GCF(79623,79629) = 3
LCM(79623,79629) = ( 79623 × 79629) / 3
LCM(79623,79629) = 6340299867 / 3
LCM(79623,79629) = 2113433289

Least Common Multiple (LCM) of 79623 and 79629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79623 and 79629. First we will calculate the prime factors of 79623 and 79629.

Prime Factorization of 79623

Prime Factorization of 79629

Now multiplying the highest exponent prime factors to calculate the LCM of 79623 and 79629.

LCM(79623,79629) = 3⁴ × 983¹ × 11¹ × 19¹ × 127¹
LCM(79623,79629) = 2113433289