What is the Least Common Multiple of 56204 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 56204 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 56204 and 56208, than apply into the LCM equation.

GCF(56204,56208) = 4
LCM(56204,56208) = ( 56204 × 56208) / 4
LCM(56204,56208) = 3159114432 / 4
LCM(56204,56208) = 789778608

Least Common Multiple (LCM) of 56204 and 56208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56204 and 56208. First we will calculate the prime factors of 56204 and 56208.

Prime Factorization of 56204

Prime Factorization of 56208

Now multiplying the highest exponent prime factors to calculate the LCM of 56204 and 56208.

LCM(56204,56208) = 2⁴ × 14051¹ × 3¹ × 1171¹
LCM(56204,56208) = 789778608