What is the Least Common Multiple of 5850 and 5870?

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 5850 and 5870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5850 and 5870, than apply into the LCM equation.

GCF(5850,5870) = 10
LCM(5850,5870) = ( 5850 × 5870) / 10
LCM(5850,5870) = 34339500 / 10
LCM(5850,5870) = 3433950

Least Common Multiple (LCM) of 5850 and 5870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5850 and 5870. First we will calculate the prime factors of 5850 and 5870.

Prime Factorization of 5850

Prime Factorization of 5870

Now multiplying the highest exponent prime factors to calculate the LCM of 5850 and 5870.

LCM(5850,5870) = 2¹ × 3² × 5² × 13¹ × 587¹
LCM(5850,5870) = 3433950