What is the Least Common Multiple of 77634 and 77646?

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 77634 and 77646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77634 and 77646, than apply into the LCM equation.

GCF(77634,77646) = 6
LCM(77634,77646) = ( 77634 × 77646) / 6
LCM(77634,77646) = 6027969564 / 6
LCM(77634,77646) = 1004661594

Least Common Multiple (LCM) of 77634 and 77646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77634 and 77646. First we will calculate the prime factors of 77634 and 77646.

Prime Factorization of 77634

Prime Factorization of 77646

Now multiplying the highest exponent prime factors to calculate the LCM of 77634 and 77646.

LCM(77634,77646) = 2¹ × 3² × 19¹ × 227¹ × 12941¹
LCM(77634,77646) = 1004661594