What is the Least Common Multiple of 70032 and 70048?

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 70048 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 70048, than apply into the LCM equation.

GCF(70032,70048) = 16
LCM(70032,70048) = ( 70032 × 70048) / 16
LCM(70032,70048) = 4905601536 / 16
LCM(70032,70048) = 306600096

Least Common Multiple (LCM) of 70032 and 70048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70032 and 70048. First we will calculate the prime factors of 70032 and 70048.

Prime Factorization of 70032

Prime Factorization of 70048

Now multiplying the highest exponent prime factors to calculate the LCM of 70032 and 70048.

LCM(70032,70048) = 2⁵ × 3¹ × 1459¹ × 11¹ × 199¹
LCM(70032,70048) = 306600096