What is the Least Common Multiple of 59130 and 59137?

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 59137 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 59137, than apply into the LCM equation.

GCF(59130,59137) = 1
LCM(59130,59137) = ( 59130 × 59137) / 1
LCM(59130,59137) = 3496770810 / 1
LCM(59130,59137) = 3496770810

Least Common Multiple (LCM) of 59130 and 59137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59130 and 59137. First we will calculate the prime factors of 59130 and 59137.

Prime Factorization of 59130

Prime Factorization of 59137

Now multiplying the highest exponent prime factors to calculate the LCM of 59130 and 59137.

LCM(59130,59137) = 2¹ × 3⁴ × 5¹ × 73¹ × 13¹ × 4549¹
LCM(59130,59137) = 3496770810