What is the Least Common Multiple of 66976 and 66983?

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 66976 and 66983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66976 and 66983, than apply into the LCM equation.

GCF(66976,66983) = 7
LCM(66976,66983) = ( 66976 × 66983) / 7
LCM(66976,66983) = 4486253408 / 7
LCM(66976,66983) = 640893344

Least Common Multiple (LCM) of 66976 and 66983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66976 and 66983. First we will calculate the prime factors of 66976 and 66983.

Prime Factorization of 66976

Prime Factorization of 66983

Now multiplying the highest exponent prime factors to calculate the LCM of 66976 and 66983.

LCM(66976,66983) = 2⁵ × 7² × 13¹ × 23¹ × 1367¹
LCM(66976,66983) = 640893344