What is the Least Common Multiple of 59170 and 59187?

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 59170 and 59187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59170 and 59187, than apply into the LCM equation.

GCF(59170,59187) = 1
LCM(59170,59187) = ( 59170 × 59187) / 1
LCM(59170,59187) = 3502094790 / 1
LCM(59170,59187) = 3502094790

Least Common Multiple (LCM) of 59170 and 59187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59170 and 59187. First we will calculate the prime factors of 59170 and 59187.

Prime Factorization of 59170

Prime Factorization of 59187

Now multiplying the highest exponent prime factors to calculate the LCM of 59170 and 59187.

LCM(59170,59187) = 2¹ × 5¹ × 61¹ × 97¹ × 3¹ × 109¹ × 181¹
LCM(59170,59187) = 3502094790