What is the Least Common Multiple of 66474 and 66480?

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 66474 and 66480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66474 and 66480, than apply into the LCM equation.

GCF(66474,66480) = 6
LCM(66474,66480) = ( 66474 × 66480) / 6
LCM(66474,66480) = 4419191520 / 6
LCM(66474,66480) = 736531920

Least Common Multiple (LCM) of 66474 and 66480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66474 and 66480. First we will calculate the prime factors of 66474 and 66480.

Prime Factorization of 66474

Prime Factorization of 66480

Now multiplying the highest exponent prime factors to calculate the LCM of 66474 and 66480.

LCM(66474,66480) = 2⁴ × 3³ × 1231¹ × 5¹ × 277¹
LCM(66474,66480) = 736531920