What is the Least Common Multiple of 48573 and 48585?

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 48573 and 48585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48573 and 48585, than apply into the LCM equation.

GCF(48573,48585) = 3
LCM(48573,48585) = ( 48573 × 48585) / 3
LCM(48573,48585) = 2359919205 / 3
LCM(48573,48585) = 786639735

Least Common Multiple (LCM) of 48573 and 48585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48573 and 48585. First we will calculate the prime factors of 48573 and 48585.

Prime Factorization of 48573

Prime Factorization of 48585

Now multiplying the highest exponent prime factors to calculate the LCM of 48573 and 48585.

LCM(48573,48585) = 3³ × 7¹ × 257¹ × 5¹ × 41¹ × 79¹
LCM(48573,48585) = 786639735