What is the Least Common Multiple of 79825 and 79837?

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 79825 and 79837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79825 and 79837, than apply into the LCM equation.

GCF(79825,79837) = 1
LCM(79825,79837) = ( 79825 × 79837) / 1
LCM(79825,79837) = 6372988525 / 1
LCM(79825,79837) = 6372988525

Least Common Multiple (LCM) of 79825 and 79837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79825 and 79837. First we will calculate the prime factors of 79825 and 79837.

Prime Factorization of 79825

Prime Factorization of 79837

Now multiplying the highest exponent prime factors to calculate the LCM of 79825 and 79837.

LCM(79825,79837) = 5² × 31¹ × 103¹ × 29¹ × 2753¹
LCM(79825,79837) = 6372988525