What is the Least Common Multiple of 87020 and 87039?

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 87020 and 87039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87020 and 87039, than apply into the LCM equation.

GCF(87020,87039) = 19
LCM(87020,87039) = ( 87020 × 87039) / 19
LCM(87020,87039) = 7574133780 / 19
LCM(87020,87039) = 398638620

Least Common Multiple (LCM) of 87020 and 87039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87020 and 87039. First we will calculate the prime factors of 87020 and 87039.

Prime Factorization of 87020

Prime Factorization of 87039

Now multiplying the highest exponent prime factors to calculate the LCM of 87020 and 87039.

LCM(87020,87039) = 2² × 5¹ × 19¹ × 229¹ × 3² × 509¹
LCM(87020,87039) = 398638620