What is the Least Common Multiple of 66438 and 66444?

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 66438 and 66444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66438 and 66444, than apply into the LCM equation.

GCF(66438,66444) = 6
LCM(66438,66444) = ( 66438 × 66444) / 6
LCM(66438,66444) = 4414406472 / 6
LCM(66438,66444) = 735734412

Least Common Multiple (LCM) of 66438 and 66444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66438 and 66444. First we will calculate the prime factors of 66438 and 66444.

Prime Factorization of 66438

Prime Factorization of 66444

Now multiplying the highest exponent prime factors to calculate the LCM of 66438 and 66444.

LCM(66438,66444) = 2² × 3² × 3691¹ × 7² × 113¹
LCM(66438,66444) = 735734412