What is the Least Common Multiple of 66960 and 66976?

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 66960 and 66976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66960 and 66976, than apply into the LCM equation.

GCF(66960,66976) = 16
LCM(66960,66976) = ( 66960 × 66976) / 16
LCM(66960,66976) = 4484712960 / 16
LCM(66960,66976) = 280294560

Least Common Multiple (LCM) of 66960 and 66976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66960 and 66976. First we will calculate the prime factors of 66960 and 66976.

Prime Factorization of 66960

Prime Factorization of 66976

Now multiplying the highest exponent prime factors to calculate the LCM of 66960 and 66976.

LCM(66960,66976) = 2⁵ × 3³ × 5¹ × 31¹ × 7¹ × 13¹ × 23¹
LCM(66960,66976) = 280294560