What is the Least Common Multiple of 66744 and 66748?

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 66744 and 66748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66744 and 66748, than apply into the LCM equation.

GCF(66744,66748) = 4
LCM(66744,66748) = ( 66744 × 66748) / 4
LCM(66744,66748) = 4455028512 / 4
LCM(66744,66748) = 1113757128

Least Common Multiple (LCM) of 66744 and 66748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66744 and 66748. First we will calculate the prime factors of 66744 and 66748.

Prime Factorization of 66744

Prime Factorization of 66748

Now multiplying the highest exponent prime factors to calculate the LCM of 66744 and 66748.

LCM(66744,66748) = 2³ × 3⁴ × 103¹ × 11¹ × 37¹ × 41¹
LCM(66744,66748) = 1113757128