What is the Least Common Multiple of 87894 and 87902?

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 87894 and 87902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87894 and 87902, than apply into the LCM equation.

GCF(87894,87902) = 2
LCM(87894,87902) = ( 87894 × 87902) / 2
LCM(87894,87902) = 7726058388 / 2
LCM(87894,87902) = 3863029194

Least Common Multiple (LCM) of 87894 and 87902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87894 and 87902. First we will calculate the prime factors of 87894 and 87902.

Prime Factorization of 87894

Prime Factorization of 87902

Now multiplying the highest exponent prime factors to calculate the LCM of 87894 and 87902.

LCM(87894,87902) = 2¹ × 3² × 19¹ × 257¹ × 43951¹
LCM(87894,87902) = 3863029194