What is the Least Common Multiple of 59475 and 59490?

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 59475 and 59490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59475 and 59490, than apply into the LCM equation.

GCF(59475,59490) = 15
LCM(59475,59490) = ( 59475 × 59490) / 15
LCM(59475,59490) = 3538167750 / 15
LCM(59475,59490) = 235877850

Least Common Multiple (LCM) of 59475 and 59490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59475 and 59490. First we will calculate the prime factors of 59475 and 59490.

Prime Factorization of 59475

Prime Factorization of 59490

Now multiplying the highest exponent prime factors to calculate the LCM of 59475 and 59490.

LCM(59475,59490) = 3² × 5² × 13¹ × 61¹ × 2¹ × 661¹
LCM(59475,59490) = 235877850