What is the Least Common Multiple of 66924 and 66944?

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 66924 and 66944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66924 and 66944, than apply into the LCM equation.

GCF(66924,66944) = 4
LCM(66924,66944) = ( 66924 × 66944) / 4
LCM(66924,66944) = 4480160256 / 4
LCM(66924,66944) = 1120040064

Least Common Multiple (LCM) of 66924 and 66944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66924 and 66944. First we will calculate the prime factors of 66924 and 66944.

Prime Factorization of 66924

Prime Factorization of 66944

Now multiplying the highest exponent prime factors to calculate the LCM of 66924 and 66944.

LCM(66924,66944) = 2⁷ × 3² × 11¹ × 13² × 523¹
LCM(66924,66944) = 1120040064