What is the Least Common Multiple of 86185 and 86197?

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 86185 and 86197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86185 and 86197, than apply into the LCM equation.

GCF(86185,86197) = 1
LCM(86185,86197) = ( 86185 × 86197) / 1
LCM(86185,86197) = 7428888445 / 1
LCM(86185,86197) = 7428888445

Least Common Multiple (LCM) of 86185 and 86197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86185 and 86197. First we will calculate the prime factors of 86185 and 86197.

Prime Factorization of 86185

Prime Factorization of 86197

Now multiplying the highest exponent prime factors to calculate the LCM of 86185 and 86197.

LCM(86185,86197) = 5¹ × 11¹ × 1567¹ × 86197¹
LCM(86185,86197) = 7428888445