What is the Least Common Multiple of 49221 and 49237?

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 49221 and 49237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49221 and 49237, than apply into the LCM equation.

GCF(49221,49237) = 1
LCM(49221,49237) = ( 49221 × 49237) / 1
LCM(49221,49237) = 2423494377 / 1
LCM(49221,49237) = 2423494377

Least Common Multiple (LCM) of 49221 and 49237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49221 and 49237. First we will calculate the prime factors of 49221 and 49237.

Prime Factorization of 49221

Prime Factorization of 49237

Now multiplying the highest exponent prime factors to calculate the LCM of 49221 and 49237.

LCM(49221,49237) = 3³ × 1823¹ × 53¹ × 929¹
LCM(49221,49237) = 2423494377