What is the Least Common Multiple of 59142 and 59158?

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 59142 and 59158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59142 and 59158, than apply into the LCM equation.

GCF(59142,59158) = 2
LCM(59142,59158) = ( 59142 × 59158) / 2
LCM(59142,59158) = 3498722436 / 2
LCM(59142,59158) = 1749361218

Least Common Multiple (LCM) of 59142 and 59158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59142 and 59158. First we will calculate the prime factors of 59142 and 59158.

Prime Factorization of 59142

Prime Factorization of 59158

Now multiplying the highest exponent prime factors to calculate the LCM of 59142 and 59158.

LCM(59142,59158) = 2¹ × 3¹ × 9857¹ × 11¹ × 2689¹
LCM(59142,59158) = 1749361218