What is the Least Common Multiple of 77112 and 77132?

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 77112 and 77132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77112 and 77132, than apply into the LCM equation.

GCF(77112,77132) = 4
LCM(77112,77132) = ( 77112 × 77132) / 4
LCM(77112,77132) = 5947802784 / 4
LCM(77112,77132) = 1486950696

Least Common Multiple (LCM) of 77112 and 77132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77112 and 77132. First we will calculate the prime factors of 77112 and 77132.

Prime Factorization of 77112

Prime Factorization of 77132

Now multiplying the highest exponent prime factors to calculate the LCM of 77112 and 77132.

LCM(77112,77132) = 2³ × 3⁴ × 7¹ × 17¹ × 11¹ × 1753¹
LCM(77112,77132) = 1486950696