What is the Least Common Multiple of 77640 and 77654?

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 77640 and 77654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77640 and 77654, than apply into the LCM equation.

GCF(77640,77654) = 2
LCM(77640,77654) = ( 77640 × 77654) / 2
LCM(77640,77654) = 6029056560 / 2
LCM(77640,77654) = 3014528280

Least Common Multiple (LCM) of 77640 and 77654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77640 and 77654. First we will calculate the prime factors of 77640 and 77654.

Prime Factorization of 77640

Prime Factorization of 77654

Now multiplying the highest exponent prime factors to calculate the LCM of 77640 and 77654.

LCM(77640,77654) = 2³ × 3¹ × 5¹ × 647¹ × 41¹ × 947¹
LCM(77640,77654) = 3014528280