What is the Least Common Multiple of 86790 and 86809?

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 86790 and 86809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86790 and 86809, than apply into the LCM equation.

GCF(86790,86809) = 1
LCM(86790,86809) = ( 86790 × 86809) / 1
LCM(86790,86809) = 7534153110 / 1
LCM(86790,86809) = 7534153110

Least Common Multiple (LCM) of 86790 and 86809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86790 and 86809. First we will calculate the prime factors of 86790 and 86809.

Prime Factorization of 86790

Prime Factorization of 86809

Now multiplying the highest exponent prime factors to calculate the LCM of 86790 and 86809.

LCM(86790,86809) = 2¹ × 3¹ × 5¹ × 11¹ × 263¹ × 47¹ × 1847¹
LCM(86790,86809) = 7534153110