What is the Least Common Multiple of 36832 and 36847?

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 36832 and 36847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36832 and 36847, than apply into the LCM equation.

GCF(36832,36847) = 1
LCM(36832,36847) = ( 36832 × 36847) / 1
LCM(36832,36847) = 1357148704 / 1
LCM(36832,36847) = 1357148704

Least Common Multiple (LCM) of 36832 and 36847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36832 and 36847. First we will calculate the prime factors of 36832 and 36847.

Prime Factorization of 36832

Prime Factorization of 36847

Now multiplying the highest exponent prime factors to calculate the LCM of 36832 and 36847.

LCM(36832,36847) = 2⁵ × 1151¹ × 36847¹
LCM(36832,36847) = 1357148704