What is the Least Common Multiple of 66960 and 66978?

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 66978 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 66978, than apply into the LCM equation.

GCF(66960,66978) = 18
LCM(66960,66978) = ( 66960 × 66978) / 18
LCM(66960,66978) = 4484846880 / 18
LCM(66960,66978) = 249158160

Least Common Multiple (LCM) of 66960 and 66978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66960 and 66978. First we will calculate the prime factors of 66960 and 66978.

Prime Factorization of 66960

Prime Factorization of 66978

Now multiplying the highest exponent prime factors to calculate the LCM of 66960 and 66978.

LCM(66960,66978) = 2⁴ × 3³ × 5¹ × 31¹ × 61²
LCM(66960,66978) = 249158160