What is the Least Common Multiple of 87425 and 87442?

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 87425 and 87442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87425 and 87442, than apply into the LCM equation.

GCF(87425,87442) = 1
LCM(87425,87442) = ( 87425 × 87442) / 1
LCM(87425,87442) = 7644616850 / 1
LCM(87425,87442) = 7644616850

Least Common Multiple (LCM) of 87425 and 87442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87425 and 87442. First we will calculate the prime factors of 87425 and 87442.

Prime Factorization of 87425

Prime Factorization of 87442

Now multiplying the highest exponent prime factors to calculate the LCM of 87425 and 87442.

LCM(87425,87442) = 5² × 13¹ × 269¹ × 2¹ × 43721¹
LCM(87425,87442) = 7644616850