What is the Least Common Multiple of 77672 and 77692?

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 77672 and 77692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77672 and 77692, than apply into the LCM equation.

GCF(77672,77692) = 4
LCM(77672,77692) = ( 77672 × 77692) / 4
LCM(77672,77692) = 6034493024 / 4
LCM(77672,77692) = 1508623256

Least Common Multiple (LCM) of 77672 and 77692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77672 and 77692. First we will calculate the prime factors of 77672 and 77692.

Prime Factorization of 77672

Prime Factorization of 77692

Now multiplying the highest exponent prime factors to calculate the LCM of 77672 and 77692.

LCM(77672,77692) = 2³ × 7¹ × 19¹ × 73¹ × 19423¹
LCM(77672,77692) = 1508623256