What is the Least Common Multiple of 51100 and 51116?

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 51100 and 51116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51100 and 51116, than apply into the LCM equation.

GCF(51100,51116) = 4
LCM(51100,51116) = ( 51100 × 51116) / 4
LCM(51100,51116) = 2612027600 / 4
LCM(51100,51116) = 653006900

Least Common Multiple (LCM) of 51100 and 51116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51100 and 51116. First we will calculate the prime factors of 51100 and 51116.

Prime Factorization of 51100

Prime Factorization of 51116

Now multiplying the highest exponent prime factors to calculate the LCM of 51100 and 51116.

LCM(51100,51116) = 2² × 5² × 7¹ × 73¹ × 13¹ × 983¹
LCM(51100,51116) = 653006900