What is the Least Common Multiple of 56228 and 56242?

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 56228 and 56242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56228 and 56242, than apply into the LCM equation.

GCF(56228,56242) = 2
LCM(56228,56242) = ( 56228 × 56242) / 2
LCM(56228,56242) = 3162375176 / 2
LCM(56228,56242) = 1581187588

Least Common Multiple (LCM) of 56228 and 56242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56228 and 56242. First we will calculate the prime factors of 56228 and 56242.

Prime Factorization of 56228

Prime Factorization of 56242

Now multiplying the highest exponent prime factors to calculate the LCM of 56228 and 56242.

LCM(56228,56242) = 2² × 14057¹ × 61¹ × 461¹
LCM(56228,56242) = 1581187588