What is the Least Common Multiple of 59130 and 59135?

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 59135 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 59135, than apply into the LCM equation.

GCF(59130,59135) = 5
LCM(59130,59135) = ( 59130 × 59135) / 5
LCM(59130,59135) = 3496652550 / 5
LCM(59130,59135) = 699330510

Least Common Multiple (LCM) of 59130 and 59135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59130 and 59135. First we will calculate the prime factors of 59130 and 59135.

Prime Factorization of 59130

Prime Factorization of 59135

Now multiplying the highest exponent prime factors to calculate the LCM of 59130 and 59135.

LCM(59130,59135) = 2¹ × 3⁴ × 5¹ × 73¹ × 11827¹
LCM(59130,59135) = 699330510