What is the Least Common Multiple of 57789 and 57807?

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 57789 and 57807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57789 and 57807, than apply into the LCM equation.

GCF(57789,57807) = 9
LCM(57789,57807) = ( 57789 × 57807) / 9
LCM(57789,57807) = 3340608723 / 9
LCM(57789,57807) = 371178747

Least Common Multiple (LCM) of 57789 and 57807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57789 and 57807. First we will calculate the prime factors of 57789 and 57807.

Prime Factorization of 57789

Prime Factorization of 57807

Now multiplying the highest exponent prime factors to calculate the LCM of 57789 and 57807.

LCM(57789,57807) = 3³ × 6421¹ × 2141¹
LCM(57789,57807) = 371178747