What is the Least Common Multiple of 51109 and 51128?

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 51109 and 51128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51109 and 51128, than apply into the LCM equation.

GCF(51109,51128) = 1
LCM(51109,51128) = ( 51109 × 51128) / 1
LCM(51109,51128) = 2613100952 / 1
LCM(51109,51128) = 2613100952

Least Common Multiple (LCM) of 51109 and 51128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51109 and 51128. First we will calculate the prime factors of 51109 and 51128.

Prime Factorization of 51109

Prime Factorization of 51128

Now multiplying the highest exponent prime factors to calculate the LCM of 51109 and 51128.

LCM(51109,51128) = 51109¹ × 2³ × 7¹ × 11¹ × 83¹
LCM(51109,51128) = 2613100952