What is the Least Common Multiple of 71200 and 71216?

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 71200 and 71216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71200 and 71216, than apply into the LCM equation.

GCF(71200,71216) = 16
LCM(71200,71216) = ( 71200 × 71216) / 16
LCM(71200,71216) = 5070579200 / 16
LCM(71200,71216) = 316911200

Least Common Multiple (LCM) of 71200 and 71216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71200 and 71216. First we will calculate the prime factors of 71200 and 71216.

Prime Factorization of 71200

Prime Factorization of 71216

Now multiplying the highest exponent prime factors to calculate the LCM of 71200 and 71216.

LCM(71200,71216) = 2⁵ × 5² × 89¹ × 4451¹
LCM(71200,71216) = 316911200