What is the Least Common Multiple of 70932 and 70944?

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 70932 and 70944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70932 and 70944, than apply into the LCM equation.

GCF(70932,70944) = 12
LCM(70932,70944) = ( 70932 × 70944) / 12
LCM(70932,70944) = 5032199808 / 12
LCM(70932,70944) = 419349984

Least Common Multiple (LCM) of 70932 and 70944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70932 and 70944. First we will calculate the prime factors of 70932 and 70944.

Prime Factorization of 70932

Prime Factorization of 70944

Now multiplying the highest exponent prime factors to calculate the LCM of 70932 and 70944.

LCM(70932,70944) = 2⁵ × 3¹ × 23¹ × 257¹ × 739¹
LCM(70932,70944) = 419349984