What is the Least Common Multiple of 89825 and 89839?

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 89825 and 89839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89825 and 89839, than apply into the LCM equation.

GCF(89825,89839) = 1
LCM(89825,89839) = ( 89825 × 89839) / 1
LCM(89825,89839) = 8069788175 / 1
LCM(89825,89839) = 8069788175

Least Common Multiple (LCM) of 89825 and 89839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89825 and 89839. First we will calculate the prime factors of 89825 and 89839.

Prime Factorization of 89825

Prime Factorization of 89839

Now multiplying the highest exponent prime factors to calculate the LCM of 89825 and 89839.

LCM(89825,89839) = 5² × 3593¹ × 89839¹
LCM(89825,89839) = 8069788175