What is the Least Common Multiple of 59003 and 59022?

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 59003 and 59022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59003 and 59022, than apply into the LCM equation.

GCF(59003,59022) = 1
LCM(59003,59022) = ( 59003 × 59022) / 1
LCM(59003,59022) = 3482475066 / 1
LCM(59003,59022) = 3482475066

Least Common Multiple (LCM) of 59003 and 59022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59003 and 59022. First we will calculate the prime factors of 59003 and 59022.

Prime Factorization of 59003

Prime Factorization of 59022

Now multiplying the highest exponent prime factors to calculate the LCM of 59003 and 59022.

LCM(59003,59022) = 7¹ × 8429¹ × 2¹ × 3³ × 1093¹
LCM(59003,59022) = 3482475066