What is the Least Common Multiple of 89932 and 89950?

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 89932 and 89950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89932 and 89950, than apply into the LCM equation.

GCF(89932,89950) = 2
LCM(89932,89950) = ( 89932 × 89950) / 2
LCM(89932,89950) = 8089383400 / 2
LCM(89932,89950) = 4044691700

Least Common Multiple (LCM) of 89932 and 89950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89932 and 89950. First we will calculate the prime factors of 89932 and 89950.

Prime Factorization of 89932

Prime Factorization of 89950

Now multiplying the highest exponent prime factors to calculate the LCM of 89932 and 89950.

LCM(89932,89950) = 2² × 22483¹ × 5² × 7¹ × 257¹
LCM(89932,89950) = 4044691700