What is the Least Common Multiple of 51658 and 51674?

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 51658 and 51674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51658 and 51674, than apply into the LCM equation.

GCF(51658,51674) = 2
LCM(51658,51674) = ( 51658 × 51674) / 2
LCM(51658,51674) = 2669375492 / 2
LCM(51658,51674) = 1334687746

Least Common Multiple (LCM) of 51658 and 51674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51658 and 51674. First we will calculate the prime factors of 51658 and 51674.

Prime Factorization of 51658

Prime Factorization of 51674

Now multiplying the highest exponent prime factors to calculate the LCM of 51658 and 51674.

LCM(51658,51674) = 2¹ × 23¹ × 1123¹ × 7¹ × 3691¹
LCM(51658,51674) = 1334687746