What is the Least Common Multiple of 86010 and 86019?

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 86010 and 86019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86010 and 86019, than apply into the LCM equation.

GCF(86010,86019) = 3
LCM(86010,86019) = ( 86010 × 86019) / 3
LCM(86010,86019) = 7398494190 / 3
LCM(86010,86019) = 2466164730

Least Common Multiple (LCM) of 86010 and 86019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86010 and 86019. First we will calculate the prime factors of 86010 and 86019.

Prime Factorization of 86010

Prime Factorization of 86019

Now multiplying the highest exponent prime factors to calculate the LCM of 86010 and 86019.

LCM(86010,86019) = 2¹ × 3¹ × 5¹ × 47¹ × 61¹ × 53¹ × 541¹
LCM(86010,86019) = 2466164730