What is the Least Common Multiple of 48555 and 48573?

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 48555 and 48573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48555 and 48573, than apply into the LCM equation.

GCF(48555,48573) = 9
LCM(48555,48573) = ( 48555 × 48573) / 9
LCM(48555,48573) = 2358462015 / 9
LCM(48555,48573) = 262051335

Least Common Multiple (LCM) of 48555 and 48573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48555 and 48573. First we will calculate the prime factors of 48555 and 48573.

Prime Factorization of 48555

Prime Factorization of 48573

Now multiplying the highest exponent prime factors to calculate the LCM of 48555 and 48573.

LCM(48555,48573) = 3³ × 5¹ × 13¹ × 83¹ × 7¹ × 257¹
LCM(48555,48573) = 262051335