What is the Least Common Multiple of 56206 and 56220?

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 56206 and 56220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56206 and 56220, than apply into the LCM equation.

GCF(56206,56220) = 2
LCM(56206,56220) = ( 56206 × 56220) / 2
LCM(56206,56220) = 3159901320 / 2
LCM(56206,56220) = 1579950660

Least Common Multiple (LCM) of 56206 and 56220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56206 and 56220. First we will calculate the prime factors of 56206 and 56220.

Prime Factorization of 56206

Prime Factorization of 56220

Now multiplying the highest exponent prime factors to calculate the LCM of 56206 and 56220.

LCM(56206,56220) = 2² × 157¹ × 179¹ × 3¹ × 5¹ × 937¹
LCM(56206,56220) = 1579950660