What is the Least Common Multiple of 76056 and 76068?

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 76056 and 76068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76056 and 76068, than apply into the LCM equation.

GCF(76056,76068) = 12
LCM(76056,76068) = ( 76056 × 76068) / 12
LCM(76056,76068) = 5785427808 / 12
LCM(76056,76068) = 482118984

Least Common Multiple (LCM) of 76056 and 76068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76056 and 76068. First we will calculate the prime factors of 76056 and 76068.

Prime Factorization of 76056

Prime Factorization of 76068

Now multiplying the highest exponent prime factors to calculate the LCM of 76056 and 76068.

LCM(76056,76068) = 2³ × 3² × 3169¹ × 2113¹
LCM(76056,76068) = 482118984