What is the Least Common Multiple of 36964 and 36971?

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 36964 and 36971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36964 and 36971, than apply into the LCM equation.

GCF(36964,36971) = 1
LCM(36964,36971) = ( 36964 × 36971) / 1
LCM(36964,36971) = 1366596044 / 1
LCM(36964,36971) = 1366596044

Least Common Multiple (LCM) of 36964 and 36971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36964 and 36971. First we will calculate the prime factors of 36964 and 36971.

Prime Factorization of 36964

Prime Factorization of 36971

Now multiplying the highest exponent prime factors to calculate the LCM of 36964 and 36971.

LCM(36964,36971) = 2² × 9241¹ × 11¹ × 3361¹
LCM(36964,36971) = 1366596044