What is the Least Common Multiple of 39945 and 39950?

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 39945 and 39950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39945 and 39950, than apply into the LCM equation.

GCF(39945,39950) = 5
LCM(39945,39950) = ( 39945 × 39950) / 5
LCM(39945,39950) = 1595802750 / 5
LCM(39945,39950) = 319160550

Least Common Multiple (LCM) of 39945 and 39950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39945 and 39950. First we will calculate the prime factors of 39945 and 39950.

Prime Factorization of 39945

Prime Factorization of 39950

Now multiplying the highest exponent prime factors to calculate the LCM of 39945 and 39950.

LCM(39945,39950) = 3¹ × 5² × 2663¹ × 2¹ × 17¹ × 47¹
LCM(39945,39950) = 319160550