What is the Least Common Multiple of 49230 and 49248?

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 49230 and 49248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49230 and 49248, than apply into the LCM equation.

GCF(49230,49248) = 18
LCM(49230,49248) = ( 49230 × 49248) / 18
LCM(49230,49248) = 2424479040 / 18
LCM(49230,49248) = 134693280

Least Common Multiple (LCM) of 49230 and 49248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49230 and 49248. First we will calculate the prime factors of 49230 and 49248.

Prime Factorization of 49230

Prime Factorization of 49248

Now multiplying the highest exponent prime factors to calculate the LCM of 49230 and 49248.

LCM(49230,49248) = 2⁵ × 3⁴ × 5¹ × 547¹ × 19¹
LCM(49230,49248) = 134693280