What is the Least Common Multiple of 43939 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 43939 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 43939 and 43950, than apply into the LCM equation.

GCF(43939,43950) = 1
LCM(43939,43950) = ( 43939 × 43950) / 1
LCM(43939,43950) = 1931119050 / 1
LCM(43939,43950) = 1931119050

Least Common Multiple (LCM) of 43939 and 43950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43939 and 43950. First we will calculate the prime factors of 43939 and 43950.

Prime Factorization of 43939

Prime Factorization of 43950

Now multiplying the highest exponent prime factors to calculate the LCM of 43939 and 43950.

LCM(43939,43950) = 7¹ × 6277¹ × 2¹ × 3¹ × 5² × 293¹
LCM(43939,43950) = 1931119050