What is the Least Common Multiple of 56628 and 56639?

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 56628 and 56639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56628 and 56639, than apply into the LCM equation.

GCF(56628,56639) = 11
LCM(56628,56639) = ( 56628 × 56639) / 11
LCM(56628,56639) = 3207353292 / 11
LCM(56628,56639) = 291577572

Least Common Multiple (LCM) of 56628 and 56639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56628 and 56639. First we will calculate the prime factors of 56628 and 56639.

Prime Factorization of 56628

Prime Factorization of 56639

Now multiplying the highest exponent prime factors to calculate the LCM of 56628 and 56639.

LCM(56628,56639) = 2² × 3² × 11² × 13¹ × 19¹ × 271¹
LCM(56628,56639) = 291577572