What is the Least Common Multiple of 66312 and 66324?

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 66312 and 66324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66312 and 66324, than apply into the LCM equation.

GCF(66312,66324) = 12
LCM(66312,66324) = ( 66312 × 66324) / 12
LCM(66312,66324) = 4398077088 / 12
LCM(66312,66324) = 366506424

Least Common Multiple (LCM) of 66312 and 66324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66312 and 66324. First we will calculate the prime factors of 66312 and 66324.

Prime Factorization of 66312

Prime Factorization of 66324

Now multiplying the highest exponent prime factors to calculate the LCM of 66312 and 66324.

LCM(66312,66324) = 2³ × 3³ × 307¹ × 5527¹
LCM(66312,66324) = 366506424