What is the Least Common Multiple of 59024 and 59042?

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 59024 and 59042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59024 and 59042, than apply into the LCM equation.

GCF(59024,59042) = 2
LCM(59024,59042) = ( 59024 × 59042) / 2
LCM(59024,59042) = 3484895008 / 2
LCM(59024,59042) = 1742447504

Least Common Multiple (LCM) of 59024 and 59042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59024 and 59042. First we will calculate the prime factors of 59024 and 59042.

Prime Factorization of 59024

Prime Factorization of 59042

Now multiplying the highest exponent prime factors to calculate the LCM of 59024 and 59042.

LCM(59024,59042) = 2⁴ × 7¹ × 17¹ × 31¹ × 53¹ × 557¹
LCM(59024,59042) = 1742447504