What is the Least Common Multiple of 77006 and 77023?

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 77006 and 77023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77006 and 77023, than apply into the LCM equation.

GCF(77006,77023) = 1
LCM(77006,77023) = ( 77006 × 77023) / 1
LCM(77006,77023) = 5931233138 / 1
LCM(77006,77023) = 5931233138

Least Common Multiple (LCM) of 77006 and 77023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77006 and 77023. First we will calculate the prime factors of 77006 and 77023.

Prime Factorization of 77006

Prime Factorization of 77023

Now multiplying the highest exponent prime factors to calculate the LCM of 77006 and 77023.

LCM(77006,77023) = 2¹ × 139¹ × 277¹ × 77023¹
LCM(77006,77023) = 5931233138