What is the Least Common Multiple of 57815 and 57820?

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 57815 and 57820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57815 and 57820, than apply into the LCM equation.

GCF(57815,57820) = 5
LCM(57815,57820) = ( 57815 × 57820) / 5
LCM(57815,57820) = 3342863300 / 5
LCM(57815,57820) = 668572660

Least Common Multiple (LCM) of 57815 and 57820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57815 and 57820. First we will calculate the prime factors of 57815 and 57820.

Prime Factorization of 57815

Prime Factorization of 57820

Now multiplying the highest exponent prime factors to calculate the LCM of 57815 and 57820.

LCM(57815,57820) = 5¹ × 31¹ × 373¹ × 2² × 7² × 59¹
LCM(57815,57820) = 668572660