What is the Least Common Multiple of 81100 and 81115?

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 81100 and 81115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81100 and 81115, than apply into the LCM equation.

GCF(81100,81115) = 5
LCM(81100,81115) = ( 81100 × 81115) / 5
LCM(81100,81115) = 6578426500 / 5
LCM(81100,81115) = 1315685300

Least Common Multiple (LCM) of 81100 and 81115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81100 and 81115. First we will calculate the prime factors of 81100 and 81115.

Prime Factorization of 81100

Prime Factorization of 81115

Now multiplying the highest exponent prime factors to calculate the LCM of 81100 and 81115.

LCM(81100,81115) = 2² × 5² × 811¹ × 16223¹
LCM(81100,81115) = 1315685300