What is the Least Common Multiple of 89901 and 89915?

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 89901 and 89915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89901 and 89915, than apply into the LCM equation.

GCF(89901,89915) = 7
LCM(89901,89915) = ( 89901 × 89915) / 7
LCM(89901,89915) = 8083448415 / 7
LCM(89901,89915) = 1154778345

Least Common Multiple (LCM) of 89901 and 89915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89901 and 89915. First we will calculate the prime factors of 89901 and 89915.

Prime Factorization of 89901

Prime Factorization of 89915

Now multiplying the highest exponent prime factors to calculate the LCM of 89901 and 89915.

LCM(89901,89915) = 3² × 7² × 1427¹ × 5¹ × 367¹
LCM(89901,89915) = 1154778345