What is the Least Common Multiple of 81119 and 81131?

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 81119 and 81131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81119 and 81131, than apply into the LCM equation.

GCF(81119,81131) = 1
LCM(81119,81131) = ( 81119 × 81131) / 1
LCM(81119,81131) = 6581265589 / 1
LCM(81119,81131) = 6581265589

Least Common Multiple (LCM) of 81119 and 81131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81119 and 81131. First we will calculate the prime factors of 81119 and 81131.

Prime Factorization of 81119

Prime Factorization of 81131

Now multiplying the highest exponent prime factors to calculate the LCM of 81119 and 81131.

LCM(81119,81131) = 81119¹ × 81131¹
LCM(81119,81131) = 6581265589