What is the Least Common Multiple of 36745 and 36760?

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 36745 and 36760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36745 and 36760, than apply into the LCM equation.

GCF(36745,36760) = 5
LCM(36745,36760) = ( 36745 × 36760) / 5
LCM(36745,36760) = 1350746200 / 5
LCM(36745,36760) = 270149240

Least Common Multiple (LCM) of 36745 and 36760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36745 and 36760. First we will calculate the prime factors of 36745 and 36760.

Prime Factorization of 36745

Prime Factorization of 36760

Now multiplying the highest exponent prime factors to calculate the LCM of 36745 and 36760.

LCM(36745,36760) = 5¹ × 7349¹ × 2³ × 919¹
LCM(36745,36760) = 270149240