What is the Least Common Multiple of 48289 and 48300?

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 48289 and 48300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48289 and 48300, than apply into the LCM equation.

GCF(48289,48300) = 1
LCM(48289,48300) = ( 48289 × 48300) / 1
LCM(48289,48300) = 2332358700 / 1
LCM(48289,48300) = 2332358700

Least Common Multiple (LCM) of 48289 and 48300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48289 and 48300. First we will calculate the prime factors of 48289 and 48300.

Prime Factorization of 48289

Prime Factorization of 48300

Now multiplying the highest exponent prime factors to calculate the LCM of 48289 and 48300.

LCM(48289,48300) = 43¹ × 1123¹ × 2² × 3¹ × 5² × 7¹ × 23¹
LCM(48289,48300) = 2332358700