What is the Least Common Multiple of 86093 and 86109?

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 86093 and 86109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86093 and 86109, than apply into the LCM equation.

GCF(86093,86109) = 1
LCM(86093,86109) = ( 86093 × 86109) / 1
LCM(86093,86109) = 7413382137 / 1
LCM(86093,86109) = 7413382137

Least Common Multiple (LCM) of 86093 and 86109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86093 and 86109. First we will calculate the prime factors of 86093 and 86109.

Prime Factorization of 86093

Prime Factorization of 86109

Now multiplying the highest exponent prime factors to calculate the LCM of 86093 and 86109.

LCM(86093,86109) = 7³ × 251¹ × 3¹ × 28703¹
LCM(86093,86109) = 7413382137