What is the Least Common Multiple of 49224 and 49230?

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 49230 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 49230, than apply into the LCM equation.

GCF(49224,49230) = 6
LCM(49224,49230) = ( 49224 × 49230) / 6
LCM(49224,49230) = 2423297520 / 6
LCM(49224,49230) = 403882920

Least Common Multiple (LCM) of 49224 and 49230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49224 and 49230. First we will calculate the prime factors of 49224 and 49230.

Prime Factorization of 49224

Prime Factorization of 49230

Now multiplying the highest exponent prime factors to calculate the LCM of 49224 and 49230.

LCM(49224,49230) = 2³ × 3² × 7¹ × 293¹ × 5¹ × 547¹
LCM(49224,49230) = 403882920