What is the Least Common Multiple of 48444 and 48450?

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 48450 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 48450, than apply into the LCM equation.

GCF(48444,48450) = 6
LCM(48444,48450) = ( 48444 × 48450) / 6
LCM(48444,48450) = 2347111800 / 6
LCM(48444,48450) = 391185300

Least Common Multiple (LCM) of 48444 and 48450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48444 and 48450. First we will calculate the prime factors of 48444 and 48450.

Prime Factorization of 48444

Prime Factorization of 48450

Now multiplying the highest exponent prime factors to calculate the LCM of 48444 and 48450.

LCM(48444,48450) = 2² × 3¹ × 11¹ × 367¹ × 5² × 17¹ × 19¹
LCM(48444,48450) = 391185300