What is the Least Common Multiple of 77512 and 77527?

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 77512 and 77527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77512 and 77527, than apply into the LCM equation.

GCF(77512,77527) = 1
LCM(77512,77527) = ( 77512 × 77527) / 1
LCM(77512,77527) = 6009272824 / 1
LCM(77512,77527) = 6009272824

Least Common Multiple (LCM) of 77512 and 77527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77512 and 77527. First we will calculate the prime factors of 77512 and 77527.

Prime Factorization of 77512

Prime Factorization of 77527

Now multiplying the highest exponent prime factors to calculate the LCM of 77512 and 77527.

LCM(77512,77527) = 2³ × 9689¹ × 77527¹
LCM(77512,77527) = 6009272824