What is the Least Common Multiple of 49269 and 49281?

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 49281 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 49281, than apply into the LCM equation.

GCF(49269,49281) = 3
LCM(49269,49281) = ( 49269 × 49281) / 3
LCM(49269,49281) = 2428025589 / 3
LCM(49269,49281) = 809341863

Least Common Multiple (LCM) of 49269 and 49281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49269 and 49281. First we will calculate the prime factors of 49269 and 49281.

Prime Factorization of 49269

Prime Factorization of 49281

Now multiplying the highest exponent prime factors to calculate the LCM of 49269 and 49281.

LCM(49269,49281) = 3¹ × 11¹ × 1493¹ × 16427¹
LCM(49269,49281) = 809341863