What is the Least Common Multiple of 86004 and 86010?

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 86004 and 86010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86004 and 86010, than apply into the LCM equation.

GCF(86004,86010) = 6
LCM(86004,86010) = ( 86004 × 86010) / 6
LCM(86004,86010) = 7397204040 / 6
LCM(86004,86010) = 1232867340

Least Common Multiple (LCM) of 86004 and 86010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86004 and 86010. First we will calculate the prime factors of 86004 and 86010.

Prime Factorization of 86004

Prime Factorization of 86010

Now multiplying the highest exponent prime factors to calculate the LCM of 86004 and 86010.

LCM(86004,86010) = 2² × 3² × 2389¹ × 5¹ × 47¹ × 61¹
LCM(86004,86010) = 1232867340