What is the Least Common Multiple of 36850 and 36870?

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 36850 and 36870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36850 and 36870, than apply into the LCM equation.

GCF(36850,36870) = 10
LCM(36850,36870) = ( 36850 × 36870) / 10
LCM(36850,36870) = 1358659500 / 10
LCM(36850,36870) = 135865950

Least Common Multiple (LCM) of 36850 and 36870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36850 and 36870. First we will calculate the prime factors of 36850 and 36870.

Prime Factorization of 36850

Prime Factorization of 36870

Now multiplying the highest exponent prime factors to calculate the LCM of 36850 and 36870.

LCM(36850,36870) = 2¹ × 5² × 11¹ × 67¹ × 3¹ × 1229¹
LCM(36850,36870) = 135865950