What is the Least Common Multiple of 81104 and 81119?

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 81104 and 81119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81104 and 81119, than apply into the LCM equation.

GCF(81104,81119) = 1
LCM(81104,81119) = ( 81104 × 81119) / 1
LCM(81104,81119) = 6579075376 / 1
LCM(81104,81119) = 6579075376

Least Common Multiple (LCM) of 81104 and 81119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81104 and 81119. First we will calculate the prime factors of 81104 and 81119.

Prime Factorization of 81104

Prime Factorization of 81119

Now multiplying the highest exponent prime factors to calculate the LCM of 81104 and 81119.

LCM(81104,81119) = 2⁴ × 37¹ × 137¹ × 81119¹
LCM(81104,81119) = 6579075376