What is the Least Common Multiple of 51314 and 51334?

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 51314 and 51334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51314 and 51334, than apply into the LCM equation.

GCF(51314,51334) = 2
LCM(51314,51334) = ( 51314 × 51334) / 2
LCM(51314,51334) = 2634152876 / 2
LCM(51314,51334) = 1317076438

Least Common Multiple (LCM) of 51314 and 51334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51314 and 51334. First we will calculate the prime factors of 51314 and 51334.

Prime Factorization of 51314

Prime Factorization of 51334

Now multiplying the highest exponent prime factors to calculate the LCM of 51314 and 51334.

LCM(51314,51334) = 2¹ × 25657¹ × 25667¹
LCM(51314,51334) = 1317076438