What is the Least Common Multiple of 51628 and 51634?

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 51634 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 51634, than apply into the LCM equation.

GCF(51628,51634) = 2
LCM(51628,51634) = ( 51628 × 51634) / 2
LCM(51628,51634) = 2665760152 / 2
LCM(51628,51634) = 1332880076

Least Common Multiple (LCM) of 51628 and 51634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51628 and 51634. First we will calculate the prime factors of 51628 and 51634.

Prime Factorization of 51628

Prime Factorization of 51634

Now multiplying the highest exponent prime factors to calculate the LCM of 51628 and 51634.

LCM(51628,51634) = 2² × 12907¹ × 11¹ × 2347¹
LCM(51628,51634) = 1332880076