What is the Least Common Multiple of 89915 and 89929?

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 89915 and 89929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89915 and 89929, than apply into the LCM equation.

GCF(89915,89929) = 7
LCM(89915,89929) = ( 89915 × 89929) / 7
LCM(89915,89929) = 8085966035 / 7
LCM(89915,89929) = 1155138005

Least Common Multiple (LCM) of 89915 and 89929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89915 and 89929. First we will calculate the prime factors of 89915 and 89929.

Prime Factorization of 89915

Prime Factorization of 89929

Now multiplying the highest exponent prime factors to calculate the LCM of 89915 and 89929.

LCM(89915,89929) = 5¹ × 7² × 367¹ × 29¹ × 443¹
LCM(89915,89929) = 1155138005