What is the Least Common Multiple of 66312 and 66326?

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 66326 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 66326, than apply into the LCM equation.

GCF(66312,66326) = 2
LCM(66312,66326) = ( 66312 × 66326) / 2
LCM(66312,66326) = 4398209712 / 2
LCM(66312,66326) = 2199104856

Least Common Multiple (LCM) of 66312 and 66326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66312 and 66326. First we will calculate the prime factors of 66312 and 66326.

Prime Factorization of 66312

Prime Factorization of 66326

Now multiplying the highest exponent prime factors to calculate the LCM of 66312 and 66326.

LCM(66312,66326) = 2³ × 3³ × 307¹ × 13¹ × 2551¹
LCM(66312,66326) = 2199104856