What is the Least Common Multiple of 81896 and 81915?

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 81896 and 81915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81896 and 81915, than apply into the LCM equation.

GCF(81896,81915) = 1
LCM(81896,81915) = ( 81896 × 81915) / 1
LCM(81896,81915) = 6708510840 / 1
LCM(81896,81915) = 6708510840

Least Common Multiple (LCM) of 81896 and 81915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81896 and 81915. First we will calculate the prime factors of 81896 and 81915.

Prime Factorization of 81896

Prime Factorization of 81915

Now multiplying the highest exponent prime factors to calculate the LCM of 81896 and 81915.

LCM(81896,81915) = 2³ × 29¹ × 353¹ × 3¹ × 5¹ × 43¹ × 127¹
LCM(81896,81915) = 6708510840