What is the Least Common Multiple of 49269 and 49287?

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 49269 and 49287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49269 and 49287, than apply into the LCM equation.

GCF(49269,49287) = 3
LCM(49269,49287) = ( 49269 × 49287) / 3
LCM(49269,49287) = 2428321203 / 3
LCM(49269,49287) = 809440401

Least Common Multiple (LCM) of 49269 and 49287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49269 and 49287. First we will calculate the prime factors of 49269 and 49287.

Prime Factorization of 49269

Prime Factorization of 49287

Now multiplying the highest exponent prime factors to calculate the LCM of 49269 and 49287.

LCM(49269,49287) = 3¹ × 11¹ × 1493¹ × 7¹ × 2347¹
LCM(49269,49287) = 809440401