What is the Least Common Multiple of 36658 and 36677?

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 36658 and 36677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36658 and 36677, than apply into the LCM equation.

GCF(36658,36677) = 1
LCM(36658,36677) = ( 36658 × 36677) / 1
LCM(36658,36677) = 1344505466 / 1
LCM(36658,36677) = 1344505466

Least Common Multiple (LCM) of 36658 and 36677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36658 and 36677. First we will calculate the prime factors of 36658 and 36677.

Prime Factorization of 36658

Prime Factorization of 36677

Now multiplying the highest exponent prime factors to calculate the LCM of 36658 and 36677.

LCM(36658,36677) = 2¹ × 18329¹ × 36677¹
LCM(36658,36677) = 1344505466