What is the Least Common Multiple of 86028 and 86039?

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 86028 and 86039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86028 and 86039, than apply into the LCM equation.

GCF(86028,86039) = 1
LCM(86028,86039) = ( 86028 × 86039) / 1
LCM(86028,86039) = 7401763092 / 1
LCM(86028,86039) = 7401763092

Least Common Multiple (LCM) of 86028 and 86039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86028 and 86039. First we will calculate the prime factors of 86028 and 86039.

Prime Factorization of 86028

Prime Factorization of 86039

Now multiplying the highest exponent prime factors to calculate the LCM of 86028 and 86039.

LCM(86028,86039) = 2² × 3¹ × 67¹ × 107¹ × 97¹ × 887¹
LCM(86028,86039) = 7401763092