What is the Least Common Multiple of 87849 and 87869?

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 87849 and 87869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87849 and 87869, than apply into the LCM equation.

GCF(87849,87869) = 1
LCM(87849,87869) = ( 87849 × 87869) / 1
LCM(87849,87869) = 7719203781 / 1
LCM(87849,87869) = 7719203781

Least Common Multiple (LCM) of 87849 and 87869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87849 and 87869. First we will calculate the prime factors of 87849 and 87869.

Prime Factorization of 87849

Prime Factorization of 87869

Now multiplying the highest exponent prime factors to calculate the LCM of 87849 and 87869.

LCM(87849,87869) = 3² × 43¹ × 227¹ × 87869¹
LCM(87849,87869) = 7719203781