What is the Least Common Multiple of 83910 and 83915?

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 83910 and 83915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83910 and 83915, than apply into the LCM equation.

GCF(83910,83915) = 5
LCM(83910,83915) = ( 83910 × 83915) / 5
LCM(83910,83915) = 7041307650 / 5
LCM(83910,83915) = 1408261530

Least Common Multiple (LCM) of 83910 and 83915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83910 and 83915. First we will calculate the prime factors of 83910 and 83915.

Prime Factorization of 83910

Prime Factorization of 83915

Now multiplying the highest exponent prime factors to calculate the LCM of 83910 and 83915.

LCM(83910,83915) = 2¹ × 3¹ × 5¹ × 2797¹ × 13¹ × 1291¹
LCM(83910,83915) = 1408261530