What is the Least Common Multiple of 86191 and 86198?

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 86191 and 86198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86191 and 86198, than apply into the LCM equation.

GCF(86191,86198) = 7
LCM(86191,86198) = ( 86191 × 86198) / 7
LCM(86191,86198) = 7429491818 / 7
LCM(86191,86198) = 1061355974

Least Common Multiple (LCM) of 86191 and 86198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86191 and 86198. First we will calculate the prime factors of 86191 and 86198.

Prime Factorization of 86191

Prime Factorization of 86198

Now multiplying the highest exponent prime factors to calculate the LCM of 86191 and 86198.

LCM(86191,86198) = 7² × 1759¹ × 2¹ × 47¹ × 131¹
LCM(86191,86198) = 1061355974