What is the Least Common Multiple of 57678 and 57691?

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 57678 and 57691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57678 and 57691, than apply into the LCM equation.

GCF(57678,57691) = 1
LCM(57678,57691) = ( 57678 × 57691) / 1
LCM(57678,57691) = 3327501498 / 1
LCM(57678,57691) = 3327501498

Least Common Multiple (LCM) of 57678 and 57691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57678 and 57691. First we will calculate the prime factors of 57678 and 57691.

Prime Factorization of 57678

Prime Factorization of 57691

Now multiplying the highest exponent prime factors to calculate the LCM of 57678 and 57691.

LCM(57678,57691) = 2¹ × 3¹ × 9613¹ × 31¹ × 1861¹
LCM(57678,57691) = 3327501498