What is the Least Common Multiple of 76956 and 76968?

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 76956 and 76968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76956 and 76968, than apply into the LCM equation.

GCF(76956,76968) = 12
LCM(76956,76968) = ( 76956 × 76968) / 12
LCM(76956,76968) = 5923149408 / 12
LCM(76956,76968) = 493595784

Least Common Multiple (LCM) of 76956 and 76968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76956 and 76968. First we will calculate the prime factors of 76956 and 76968.

Prime Factorization of 76956

Prime Factorization of 76968

Now multiplying the highest exponent prime factors to calculate the LCM of 76956 and 76968.

LCM(76956,76968) = 2³ × 3² × 11² × 53¹ × 1069¹
LCM(76956,76968) = 493595784