What is the Least Common Multiple of 36790 and 36810?

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 36790 and 36810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36790 and 36810, than apply into the LCM equation.

GCF(36790,36810) = 10
LCM(36790,36810) = ( 36790 × 36810) / 10
LCM(36790,36810) = 1354239900 / 10
LCM(36790,36810) = 135423990

Least Common Multiple (LCM) of 36790 and 36810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36790 and 36810. First we will calculate the prime factors of 36790 and 36810.

Prime Factorization of 36790

Prime Factorization of 36810

Now multiplying the highest exponent prime factors to calculate the LCM of 36790 and 36810.

LCM(36790,36810) = 2¹ × 5¹ × 13¹ × 283¹ × 3² × 409¹
LCM(36790,36810) = 135423990