What is the Least Common Multiple of 36677 and 36694?

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 36677 and 36694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36677 and 36694, than apply into the LCM equation.

GCF(36677,36694) = 1
LCM(36677,36694) = ( 36677 × 36694) / 1
LCM(36677,36694) = 1345825838 / 1
LCM(36677,36694) = 1345825838

Least Common Multiple (LCM) of 36677 and 36694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36677 and 36694. First we will calculate the prime factors of 36677 and 36694.

Prime Factorization of 36677

Prime Factorization of 36694

Now multiplying the highest exponent prime factors to calculate the LCM of 36677 and 36694.

LCM(36677,36694) = 36677¹ × 2¹ × 7¹ × 2621¹
LCM(36677,36694) = 1345825838