What is the Least Common Multiple of 57850 and 57870?

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 57850 and 57870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57850 and 57870, than apply into the LCM equation.

GCF(57850,57870) = 10
LCM(57850,57870) = ( 57850 × 57870) / 10
LCM(57850,57870) = 3347779500 / 10
LCM(57850,57870) = 334777950

Least Common Multiple (LCM) of 57850 and 57870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57850 and 57870. First we will calculate the prime factors of 57850 and 57870.

Prime Factorization of 57850

Prime Factorization of 57870

Now multiplying the highest exponent prime factors to calculate the LCM of 57850 and 57870.

LCM(57850,57870) = 2¹ × 5² × 13¹ × 89¹ × 3² × 643¹
LCM(57850,57870) = 334777950