What is the Least Common Multiple of 48435 and 48447?

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 48435 and 48447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48435 and 48447, than apply into the LCM equation.

GCF(48435,48447) = 3
LCM(48435,48447) = ( 48435 × 48447) / 3
LCM(48435,48447) = 2346530445 / 3
LCM(48435,48447) = 782176815

Least Common Multiple (LCM) of 48435 and 48447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48435 and 48447. First we will calculate the prime factors of 48435 and 48447.

Prime Factorization of 48435

Prime Factorization of 48447

Now multiplying the highest exponent prime factors to calculate the LCM of 48435 and 48447.

LCM(48435,48447) = 3² × 5¹ × 3229¹ × 7¹ × 769¹
LCM(48435,48447) = 782176815