What is the Least Common Multiple of 76056 and 76064?

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 76064 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 76064, than apply into the LCM equation.

GCF(76056,76064) = 8
LCM(76056,76064) = ( 76056 × 76064) / 8
LCM(76056,76064) = 5785123584 / 8
LCM(76056,76064) = 723140448

Least Common Multiple (LCM) of 76056 and 76064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76056 and 76064. First we will calculate the prime factors of 76056 and 76064.

Prime Factorization of 76056

Prime Factorization of 76064

Now multiplying the highest exponent prime factors to calculate the LCM of 76056 and 76064.

LCM(76056,76064) = 2⁵ × 3¹ × 3169¹ × 2377¹
LCM(76056,76064) = 723140448