What is the Least Common Multiple of 86094 and 86099?

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 86094 and 86099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86094 and 86099, than apply into the LCM equation.

GCF(86094,86099) = 1
LCM(86094,86099) = ( 86094 × 86099) / 1
LCM(86094,86099) = 7412607306 / 1
LCM(86094,86099) = 7412607306

Least Common Multiple (LCM) of 86094 and 86099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86094 and 86099. First we will calculate the prime factors of 86094 and 86099.

Prime Factorization of 86094

Prime Factorization of 86099

Now multiplying the highest exponent prime factors to calculate the LCM of 86094 and 86099.

LCM(86094,86099) = 2¹ × 3² × 4783¹ × 13¹ × 37¹ × 179¹
LCM(86094,86099) = 7412607306