What is the Least Common Multiple of 76056 and 76060?

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 76060 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 76060, than apply into the LCM equation.

GCF(76056,76060) = 4
LCM(76056,76060) = ( 76056 × 76060) / 4
LCM(76056,76060) = 5784819360 / 4
LCM(76056,76060) = 1446204840

Least Common Multiple (LCM) of 76056 and 76060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76056 and 76060. First we will calculate the prime factors of 76056 and 76060.

Prime Factorization of 76056

Prime Factorization of 76060

Now multiplying the highest exponent prime factors to calculate the LCM of 76056 and 76060.

LCM(76056,76060) = 2³ × 3¹ × 3169¹ × 5¹ × 3803¹
LCM(76056,76060) = 1446204840