What is the Least Common Multiple of 81088 and 81100?

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 81088 and 81100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81088 and 81100, than apply into the LCM equation.

GCF(81088,81100) = 4
LCM(81088,81100) = ( 81088 × 81100) / 4
LCM(81088,81100) = 6576236800 / 4
LCM(81088,81100) = 1644059200

Least Common Multiple (LCM) of 81088 and 81100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81088 and 81100. First we will calculate the prime factors of 81088 and 81100.

Prime Factorization of 81088

Prime Factorization of 81100

Now multiplying the highest exponent prime factors to calculate the LCM of 81088 and 81100.

LCM(81088,81100) = 2⁶ × 7¹ × 181¹ × 5² × 811¹
LCM(81088,81100) = 1644059200