What is the Least Common Multiple of 87020 and 87036?

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 87036 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 87036, than apply into the LCM equation.

GCF(87020,87036) = 4
LCM(87020,87036) = ( 87020 × 87036) / 4
LCM(87020,87036) = 7573872720 / 4
LCM(87020,87036) = 1893468180

Least Common Multiple (LCM) of 87020 and 87036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87020 and 87036. First we will calculate the prime factors of 87020 and 87036.

Prime Factorization of 87020

Prime Factorization of 87036

Now multiplying the highest exponent prime factors to calculate the LCM of 87020 and 87036.

LCM(87020,87036) = 2² × 5¹ × 19¹ × 229¹ × 3¹ × 7253¹
LCM(87020,87036) = 1893468180