What is the Least Common Multiple of 56208 and 56216?

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 56208 and 56216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56208 and 56216, than apply into the LCM equation.

GCF(56208,56216) = 8
LCM(56208,56216) = ( 56208 × 56216) / 8
LCM(56208,56216) = 3159788928 / 8
LCM(56208,56216) = 394973616

Least Common Multiple (LCM) of 56208 and 56216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56208 and 56216. First we will calculate the prime factors of 56208 and 56216.

Prime Factorization of 56208

Prime Factorization of 56216

Now multiplying the highest exponent prime factors to calculate the LCM of 56208 and 56216.

LCM(56208,56216) = 2⁴ × 3¹ × 1171¹ × 7027¹
LCM(56208,56216) = 394973616