What is the Least Common Multiple of 48573 and 48593?

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 48593 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 48593, than apply into the LCM equation.

GCF(48573,48593) = 1
LCM(48573,48593) = ( 48573 × 48593) / 1
LCM(48573,48593) = 2360307789 / 1
LCM(48573,48593) = 2360307789

Least Common Multiple (LCM) of 48573 and 48593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48573 and 48593. First we will calculate the prime factors of 48573 and 48593.

Prime Factorization of 48573

Prime Factorization of 48593

Now multiplying the highest exponent prime factors to calculate the LCM of 48573 and 48593.

LCM(48573,48593) = 3³ × 7¹ × 257¹ × 48593¹
LCM(48573,48593) = 2360307789