What is the Least Common Multiple of 59130 and 59134?

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 59134 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 59134, than apply into the LCM equation.

GCF(59130,59134) = 2
LCM(59130,59134) = ( 59130 × 59134) / 2
LCM(59130,59134) = 3496593420 / 2
LCM(59130,59134) = 1748296710

Least Common Multiple (LCM) of 59130 and 59134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59130 and 59134. First we will calculate the prime factors of 59130 and 59134.

Prime Factorization of 59130

Prime Factorization of 59134

Now multiplying the highest exponent prime factors to calculate the LCM of 59130 and 59134.

LCM(59130,59134) = 2¹ × 3⁴ × 5¹ × 73¹ × 29567¹
LCM(59130,59134) = 1748296710