What is the Least Common Multiple of 51114 and 51125?

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 51114 and 51125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51114 and 51125, than apply into the LCM equation.

GCF(51114,51125) = 1
LCM(51114,51125) = ( 51114 × 51125) / 1
LCM(51114,51125) = 2613203250 / 1
LCM(51114,51125) = 2613203250

Least Common Multiple (LCM) of 51114 and 51125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51114 and 51125. First we will calculate the prime factors of 51114 and 51125.

Prime Factorization of 51114

Prime Factorization of 51125

Now multiplying the highest exponent prime factors to calculate the LCM of 51114 and 51125.

LCM(51114,51125) = 2¹ × 3¹ × 7¹ × 1217¹ × 5³ × 409¹
LCM(51114,51125) = 2613203250