What is the Least Common Multiple of 49224 and 49239?

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 49224 and 49239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49224 and 49239, than apply into the LCM equation.

GCF(49224,49239) = 3
LCM(49224,49239) = ( 49224 × 49239) / 3
LCM(49224,49239) = 2423740536 / 3
LCM(49224,49239) = 807913512

Least Common Multiple (LCM) of 49224 and 49239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49224 and 49239. First we will calculate the prime factors of 49224 and 49239.

Prime Factorization of 49224

Prime Factorization of 49239

Now multiplying the highest exponent prime factors to calculate the LCM of 49224 and 49239.

LCM(49224,49239) = 2³ × 3² × 7¹ × 293¹ × 5471¹
LCM(49224,49239) = 807913512