What is the Least Common Multiple of 48444 and 48462?

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 48444 and 48462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48444 and 48462, than apply into the LCM equation.

GCF(48444,48462) = 6
LCM(48444,48462) = ( 48444 × 48462) / 6
LCM(48444,48462) = 2347693128 / 6
LCM(48444,48462) = 391282188

Least Common Multiple (LCM) of 48444 and 48462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48444 and 48462. First we will calculate the prime factors of 48444 and 48462.

Prime Factorization of 48444

Prime Factorization of 48462

Now multiplying the highest exponent prime factors to calculate the LCM of 48444 and 48462.

LCM(48444,48462) = 2² × 3¹ × 11¹ × 367¹ × 41¹ × 197¹
LCM(48444,48462) = 391282188