What is the Least Common Multiple of 76044 and 76056?

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 76044 and 76056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76044 and 76056, than apply into the LCM equation.

GCF(76044,76056) = 12
LCM(76044,76056) = ( 76044 × 76056) / 12
LCM(76044,76056) = 5783602464 / 12
LCM(76044,76056) = 481966872

Least Common Multiple (LCM) of 76044 and 76056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76044 and 76056. First we will calculate the prime factors of 76044 and 76056.

Prime Factorization of 76044

Prime Factorization of 76056

Now multiplying the highest exponent prime factors to calculate the LCM of 76044 and 76056.

LCM(76044,76056) = 2³ × 3¹ × 6337¹ × 3169¹
LCM(76044,76056) = 481966872