What is the Least Common Multiple of 56200 and 56208?

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 56200 and 56208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56200 and 56208, than apply into the LCM equation.

GCF(56200,56208) = 8
LCM(56200,56208) = ( 56200 × 56208) / 8
LCM(56200,56208) = 3158889600 / 8
LCM(56200,56208) = 394861200

Least Common Multiple (LCM) of 56200 and 56208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56200 and 56208. First we will calculate the prime factors of 56200 and 56208.

Prime Factorization of 56200

Prime Factorization of 56208

Now multiplying the highest exponent prime factors to calculate the LCM of 56200 and 56208.

LCM(56200,56208) = 2⁴ × 5² × 281¹ × 3¹ × 1171¹
LCM(56200,56208) = 394861200