What is the Least Common Multiple of 81130 and 81140?

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 81130 and 81140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81130 and 81140, than apply into the LCM equation.

GCF(81130,81140) = 10
LCM(81130,81140) = ( 81130 × 81140) / 10
LCM(81130,81140) = 6582888200 / 10
LCM(81130,81140) = 658288820

Least Common Multiple (LCM) of 81130 and 81140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81130 and 81140. First we will calculate the prime factors of 81130 and 81140.

Prime Factorization of 81130

Prime Factorization of 81140

Now multiplying the highest exponent prime factors to calculate the LCM of 81130 and 81140.

LCM(81130,81140) = 2² × 5¹ × 7¹ × 19¹ × 61¹ × 4057¹
LCM(81130,81140) = 658288820