What is the Least Common Multiple of 70032 and 70044?

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 70032 and 70044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70032 and 70044, than apply into the LCM equation.

GCF(70032,70044) = 12
LCM(70032,70044) = ( 70032 × 70044) / 12
LCM(70032,70044) = 4905321408 / 12
LCM(70032,70044) = 408776784

Least Common Multiple (LCM) of 70032 and 70044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70032 and 70044. First we will calculate the prime factors of 70032 and 70044.

Prime Factorization of 70032

Prime Factorization of 70044

Now multiplying the highest exponent prime factors to calculate the LCM of 70032 and 70044.

LCM(70032,70044) = 2⁴ × 3¹ × 1459¹ × 13¹ × 449¹
LCM(70032,70044) = 408776784