What is the Least Common Multiple of 57681 and 57690?

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 57681 and 57690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57681 and 57690, than apply into the LCM equation.

GCF(57681,57690) = 9
LCM(57681,57690) = ( 57681 × 57690) / 9
LCM(57681,57690) = 3327616890 / 9
LCM(57681,57690) = 369735210

Least Common Multiple (LCM) of 57681 and 57690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57681 and 57690. First we will calculate the prime factors of 57681 and 57690.

Prime Factorization of 57681

Prime Factorization of 57690

Now multiplying the highest exponent prime factors to calculate the LCM of 57681 and 57690.

LCM(57681,57690) = 3² × 13¹ × 17¹ × 29¹ × 2¹ × 5¹ × 641¹
LCM(57681,57690) = 369735210