What is the Least Common Multiple of 71072 and 71088?

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 71072 and 71088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71072 and 71088, than apply into the LCM equation.

GCF(71072,71088) = 16
LCM(71072,71088) = ( 71072 × 71088) / 16
LCM(71072,71088) = 5052366336 / 16
LCM(71072,71088) = 315772896

Least Common Multiple (LCM) of 71072 and 71088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71072 and 71088. First we will calculate the prime factors of 71072 and 71088.

Prime Factorization of 71072

Prime Factorization of 71088

Now multiplying the highest exponent prime factors to calculate the LCM of 71072 and 71088.

LCM(71072,71088) = 2⁵ × 2221¹ × 3¹ × 1481¹
LCM(71072,71088) = 315772896