What is the Least Common Multiple of 77654 and 77672?

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 77654 and 77672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77654 and 77672, than apply into the LCM equation.

GCF(77654,77672) = 2
LCM(77654,77672) = ( 77654 × 77672) / 2
LCM(77654,77672) = 6031541488 / 2
LCM(77654,77672) = 3015770744

Least Common Multiple (LCM) of 77654 and 77672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77654 and 77672. First we will calculate the prime factors of 77654 and 77672.

Prime Factorization of 77654

Prime Factorization of 77672

Now multiplying the highest exponent prime factors to calculate the LCM of 77654 and 77672.

LCM(77654,77672) = 2³ × 41¹ × 947¹ × 7¹ × 19¹ × 73¹
LCM(77654,77672) = 3015770744