What is the Least Common Multiple of 56208 and 56219?

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 56219 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 56219, than apply into the LCM equation.

GCF(56208,56219) = 1
LCM(56208,56219) = ( 56208 × 56219) / 1
LCM(56208,56219) = 3159957552 / 1
LCM(56208,56219) = 3159957552

Least Common Multiple (LCM) of 56208 and 56219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56208 and 56219. First we will calculate the prime factors of 56208 and 56219.

Prime Factorization of 56208

Prime Factorization of 56219

Now multiplying the highest exponent prime factors to calculate the LCM of 56208 and 56219.

LCM(56208,56219) = 2⁴ × 3¹ × 1171¹ × 17¹ × 3307¹
LCM(56208,56219) = 3159957552