What is the Least Common Multiple of 49296 and 49309?

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 49296 and 49309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49296 and 49309, than apply into the LCM equation.

GCF(49296,49309) = 13
LCM(49296,49309) = ( 49296 × 49309) / 13
LCM(49296,49309) = 2430736464 / 13
LCM(49296,49309) = 186979728

Least Common Multiple (LCM) of 49296 and 49309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49296 and 49309. First we will calculate the prime factors of 49296 and 49309.

Prime Factorization of 49296

Prime Factorization of 49309

Now multiplying the highest exponent prime factors to calculate the LCM of 49296 and 49309.

LCM(49296,49309) = 2⁴ × 3¹ × 13¹ × 79¹ × 3793¹
LCM(49296,49309) = 186979728