What is the Least Common Multiple of 57654 and 57669?

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 57669 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 57669, than apply into the LCM equation.

GCF(57654,57669) = 3
LCM(57654,57669) = ( 57654 × 57669) / 3
LCM(57654,57669) = 3324848526 / 3
LCM(57654,57669) = 1108282842

Least Common Multiple (LCM) of 57654 and 57669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57654 and 57669. First we will calculate the prime factors of 57654 and 57669.

Prime Factorization of 57654

Prime Factorization of 57669

Now multiplying the highest exponent prime factors to calculate the LCM of 57654 and 57669.

LCM(57654,57669) = 2¹ × 3² × 3203¹ × 47¹ × 409¹
LCM(57654,57669) = 1108282842