What is the Least Common Multiple of 51628 and 51640?

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 51628 and 51640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51628 and 51640, than apply into the LCM equation.

GCF(51628,51640) = 4
LCM(51628,51640) = ( 51628 × 51640) / 4
LCM(51628,51640) = 2666069920 / 4
LCM(51628,51640) = 666517480

Least Common Multiple (LCM) of 51628 and 51640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51628 and 51640. First we will calculate the prime factors of 51628 and 51640.

Prime Factorization of 51628

Prime Factorization of 51640

Now multiplying the highest exponent prime factors to calculate the LCM of 51628 and 51640.

LCM(51628,51640) = 2³ × 12907¹ × 5¹ × 1291¹
LCM(51628,51640) = 666517480