What is the Least Common Multiple of 43940 and 43950?

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 43940 and 43950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43940 and 43950, than apply into the LCM equation.

GCF(43940,43950) = 10
LCM(43940,43950) = ( 43940 × 43950) / 10
LCM(43940,43950) = 1931163000 / 10
LCM(43940,43950) = 193116300

Least Common Multiple (LCM) of 43940 and 43950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43940 and 43950. First we will calculate the prime factors of 43940 and 43950.

Prime Factorization of 43940

Prime Factorization of 43950

Now multiplying the highest exponent prime factors to calculate the LCM of 43940 and 43950.

LCM(43940,43950) = 2² × 5² × 13³ × 3¹ × 293¹
LCM(43940,43950) = 193116300