What is the Least Common Multiple of 59130 and 59146?

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 59130 and 59146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59130 and 59146, than apply into the LCM equation.

GCF(59130,59146) = 2
LCM(59130,59146) = ( 59130 × 59146) / 2
LCM(59130,59146) = 3497302980 / 2
LCM(59130,59146) = 1748651490

Least Common Multiple (LCM) of 59130 and 59146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59130 and 59146. First we will calculate the prime factors of 59130 and 59146.

Prime Factorization of 59130

Prime Factorization of 59146

Now multiplying the highest exponent prime factors to calculate the LCM of 59130 and 59146.

LCM(59130,59146) = 2¹ × 3⁴ × 5¹ × 73¹ × 29573¹
LCM(59130,59146) = 1748651490