What is the Least Common Multiple of 36951 and 36963?

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 36951 and 36963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36951 and 36963, than apply into the LCM equation.

GCF(36951,36963) = 3
LCM(36951,36963) = ( 36951 × 36963) / 3
LCM(36951,36963) = 1365819813 / 3
LCM(36951,36963) = 455273271

Least Common Multiple (LCM) of 36951 and 36963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36951 and 36963. First we will calculate the prime factors of 36951 and 36963.

Prime Factorization of 36951

Prime Factorization of 36963

Now multiplying the highest exponent prime factors to calculate the LCM of 36951 and 36963.

LCM(36951,36963) = 3³ × 109¹ × 113¹ × 37²
LCM(36951,36963) = 455273271