What is the Least Common Multiple of 76047 and 76053?

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 76047 and 76053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76047 and 76053, than apply into the LCM equation.

GCF(76047,76053) = 3
LCM(76047,76053) = ( 76047 × 76053) / 3
LCM(76047,76053) = 5783602491 / 3
LCM(76047,76053) = 1927867497

Least Common Multiple (LCM) of 76047 and 76053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76047 and 76053. First we will calculate the prime factors of 76047 and 76053.

Prime Factorization of 76047

Prime Factorization of 76053

Now multiplying the highest exponent prime factors to calculate the LCM of 76047 and 76053.

LCM(76047,76053) = 3¹ × 25349¹ × 101¹ × 251¹
LCM(76047,76053) = 1927867497