What is the Least Common Multiple of 76029 and 76047?

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 76029 and 76047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76029 and 76047, than apply into the LCM equation.

GCF(76029,76047) = 3
LCM(76029,76047) = ( 76029 × 76047) / 3
LCM(76029,76047) = 5781777363 / 3
LCM(76029,76047) = 1927259121

Least Common Multiple (LCM) of 76029 and 76047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76029 and 76047. First we will calculate the prime factors of 76029 and 76047.

Prime Factorization of 76029

Prime Factorization of 76047

Now multiplying the highest exponent prime factors to calculate the LCM of 76029 and 76047.

LCM(76029,76047) = 3¹ × 25343¹ × 25349¹
LCM(76029,76047) = 1927259121