What is the Least Common Multiple of 22239 and 22247?

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 22239 and 22247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22239 and 22247, than apply into the LCM equation.

GCF(22239,22247) = 1
LCM(22239,22247) = ( 22239 × 22247) / 1
LCM(22239,22247) = 494751033 / 1
LCM(22239,22247) = 494751033

Least Common Multiple (LCM) of 22239 and 22247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22239 and 22247. First we will calculate the prime factors of 22239 and 22247.

Prime Factorization of 22239

Prime Factorization of 22247

Now multiplying the highest exponent prime factors to calculate the LCM of 22239 and 22247.

LCM(22239,22247) = 3² × 7¹ × 353¹ × 22247¹
LCM(22239,22247) = 494751033