What is the Least Common Multiple of 57654 and 57667?

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 57654 and 57667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57654 and 57667, than apply into the LCM equation.

GCF(57654,57667) = 1
LCM(57654,57667) = ( 57654 × 57667) / 1
LCM(57654,57667) = 3324733218 / 1
LCM(57654,57667) = 3324733218

Least Common Multiple (LCM) of 57654 and 57667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57654 and 57667. First we will calculate the prime factors of 57654 and 57667.

Prime Factorization of 57654

Prime Factorization of 57667

Now multiplying the highest exponent prime factors to calculate the LCM of 57654 and 57667.

LCM(57654,57667) = 2¹ × 3² × 3203¹ × 57667¹
LCM(57654,57667) = 3324733218