What is the Least Common Multiple of 44948 and 44963?

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 44948 and 44963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44948 and 44963, than apply into the LCM equation.

GCF(44948,44963) = 1
LCM(44948,44963) = ( 44948 × 44963) / 1
LCM(44948,44963) = 2020996924 / 1
LCM(44948,44963) = 2020996924

Least Common Multiple (LCM) of 44948 and 44963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44948 and 44963. First we will calculate the prime factors of 44948 and 44963.

Prime Factorization of 44948

Prime Factorization of 44963

Now multiplying the highest exponent prime factors to calculate the LCM of 44948 and 44963.

LCM(44948,44963) = 2² × 17¹ × 661¹ × 44963¹
LCM(44948,44963) = 2020996924