What is the Least Common Multiple of 59144 and 59162?

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 59144 and 59162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59144 and 59162, than apply into the LCM equation.

GCF(59144,59162) = 2
LCM(59144,59162) = ( 59144 × 59162) / 2
LCM(59144,59162) = 3499077328 / 2
LCM(59144,59162) = 1749538664

Least Common Multiple (LCM) of 59144 and 59162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59144 and 59162. First we will calculate the prime factors of 59144 and 59162.

Prime Factorization of 59144

Prime Factorization of 59162

Now multiplying the highest exponent prime factors to calculate the LCM of 59144 and 59162.

LCM(59144,59162) = 2³ × 7393¹ × 29581¹
LCM(59144,59162) = 1749538664