What is the Least Common Multiple of 36632 and 36637?

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 36632 and 36637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36632 and 36637, than apply into the LCM equation.

GCF(36632,36637) = 1
LCM(36632,36637) = ( 36632 × 36637) / 1
LCM(36632,36637) = 1342086584 / 1
LCM(36632,36637) = 1342086584

Least Common Multiple (LCM) of 36632 and 36637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36632 and 36637. First we will calculate the prime factors of 36632 and 36637.

Prime Factorization of 36632

Prime Factorization of 36637

Now multiplying the highest exponent prime factors to calculate the LCM of 36632 and 36637.

LCM(36632,36637) = 2³ × 19¹ × 241¹ × 36637¹
LCM(36632,36637) = 1342086584