What is the Least Common Multiple of 59162 and 59173?

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 59162 and 59173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59162 and 59173, than apply into the LCM equation.

GCF(59162,59173) = 1
LCM(59162,59173) = ( 59162 × 59173) / 1
LCM(59162,59173) = 3500793026 / 1
LCM(59162,59173) = 3500793026

Least Common Multiple (LCM) of 59162 and 59173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59162 and 59173. First we will calculate the prime factors of 59162 and 59173.

Prime Factorization of 59162

Prime Factorization of 59173

Now multiplying the highest exponent prime factors to calculate the LCM of 59162 and 59173.

LCM(59162,59173) = 2¹ × 29581¹ × 47¹ × 1259¹
LCM(59162,59173) = 3500793026