What is the Least Common Multiple of 76602 and 76617?

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 76602 and 76617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76602 and 76617, than apply into the LCM equation.

GCF(76602,76617) = 3
LCM(76602,76617) = ( 76602 × 76617) / 3
LCM(76602,76617) = 5869015434 / 3
LCM(76602,76617) = 1956338478

Least Common Multiple (LCM) of 76602 and 76617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76602 and 76617. First we will calculate the prime factors of 76602 and 76617.

Prime Factorization of 76602

Prime Factorization of 76617

Now multiplying the highest exponent prime factors to calculate the LCM of 76602 and 76617.

LCM(76602,76617) = 2¹ × 3² × 17¹ × 751¹ × 8513¹
LCM(76602,76617) = 1956338478