What is the Least Common Multiple of 66976 and 66992?

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 66992 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 66992, than apply into the LCM equation.

GCF(66976,66992) = 16
LCM(66976,66992) = ( 66976 × 66992) / 16
LCM(66976,66992) = 4486856192 / 16
LCM(66976,66992) = 280428512

Least Common Multiple (LCM) of 66976 and 66992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66976 and 66992. First we will calculate the prime factors of 66976 and 66992.

Prime Factorization of 66976

Prime Factorization of 66992

Now multiplying the highest exponent prime factors to calculate the LCM of 66976 and 66992.

LCM(66976,66992) = 2⁵ × 7¹ × 13¹ × 23¹ × 53¹ × 79¹
LCM(66976,66992) = 280428512