What is the Least Common Multiple of 49593 and 49601?

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 49593 and 49601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49593 and 49601, than apply into the LCM equation.

GCF(49593,49601) = 1
LCM(49593,49601) = ( 49593 × 49601) / 1
LCM(49593,49601) = 2459862393 / 1
LCM(49593,49601) = 2459862393

Least Common Multiple (LCM) of 49593 and 49601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49593 and 49601. First we will calculate the prime factors of 49593 and 49601.

Prime Factorization of 49593

Prime Factorization of 49601

Now multiplying the highest exponent prime factors to calculate the LCM of 49593 and 49601.

LCM(49593,49601) = 3¹ × 61¹ × 271¹ × 193¹ × 257¹
LCM(49593,49601) = 2459862393