What is the Least Common Multiple of 48945 and 48950?

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 48945 and 48950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48945 and 48950, than apply into the LCM equation.

GCF(48945,48950) = 5
LCM(48945,48950) = ( 48945 × 48950) / 5
LCM(48945,48950) = 2395857750 / 5
LCM(48945,48950) = 479171550

Least Common Multiple (LCM) of 48945 and 48950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48945 and 48950. First we will calculate the prime factors of 48945 and 48950.

Prime Factorization of 48945

Prime Factorization of 48950

Now multiplying the highest exponent prime factors to calculate the LCM of 48945 and 48950.

LCM(48945,48950) = 3¹ × 5² × 13¹ × 251¹ × 2¹ × 11¹ × 89¹
LCM(48945,48950) = 479171550