What is the Least Common Multiple of 36684 and 36702?

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 36684 and 36702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36684 and 36702, than apply into the LCM equation.

GCF(36684,36702) = 18
LCM(36684,36702) = ( 36684 × 36702) / 18
LCM(36684,36702) = 1346376168 / 18
LCM(36684,36702) = 74798676

Least Common Multiple (LCM) of 36684 and 36702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36684 and 36702. First we will calculate the prime factors of 36684 and 36702.

Prime Factorization of 36684

Prime Factorization of 36702

Now multiplying the highest exponent prime factors to calculate the LCM of 36684 and 36702.

LCM(36684,36702) = 2² × 3² × 1019¹ × 2039¹
LCM(36684,36702) = 74798676