What is the Least Common Multiple of 49309 and 49318?

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 49309 and 49318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49309 and 49318, than apply into the LCM equation.

GCF(49309,49318) = 1
LCM(49309,49318) = ( 49309 × 49318) / 1
LCM(49309,49318) = 2431821262 / 1
LCM(49309,49318) = 2431821262

Least Common Multiple (LCM) of 49309 and 49318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49309 and 49318. First we will calculate the prime factors of 49309 and 49318.

Prime Factorization of 49309

Prime Factorization of 49318

Now multiplying the highest exponent prime factors to calculate the LCM of 49309 and 49318.

LCM(49309,49318) = 13¹ × 3793¹ × 2¹ × 24659¹
LCM(49309,49318) = 2431821262