What is the Least Common Multiple of 48948 and 48963?

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 48948 and 48963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48948 and 48963, than apply into the LCM equation.

GCF(48948,48963) = 3
LCM(48948,48963) = ( 48948 × 48963) / 3
LCM(48948,48963) = 2396640924 / 3
LCM(48948,48963) = 798880308

Least Common Multiple (LCM) of 48948 and 48963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48948 and 48963. First we will calculate the prime factors of 48948 and 48963.

Prime Factorization of 48948

Prime Factorization of 48963

Now multiplying the highest exponent prime factors to calculate the LCM of 48948 and 48963.

LCM(48948,48963) = 2² × 3¹ × 4079¹ × 19¹ × 859¹
LCM(48948,48963) = 798880308