What is the Least Common Multiple of 53475 and 53490?

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 53475 and 53490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53475 and 53490, than apply into the LCM equation.

GCF(53475,53490) = 15
LCM(53475,53490) = ( 53475 × 53490) / 15
LCM(53475,53490) = 2860377750 / 15
LCM(53475,53490) = 190691850

Least Common Multiple (LCM) of 53475 and 53490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53475 and 53490. First we will calculate the prime factors of 53475 and 53490.

Prime Factorization of 53475

Prime Factorization of 53490

Now multiplying the highest exponent prime factors to calculate the LCM of 53475 and 53490.

LCM(53475,53490) = 3¹ × 5² × 23¹ × 31¹ × 2¹ × 1783¹
LCM(53475,53490) = 190691850