What is the Least Common Multiple of 69825 and 69839?

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 69825 and 69839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69825 and 69839, than apply into the LCM equation.

GCF(69825,69839) = 7
LCM(69825,69839) = ( 69825 × 69839) / 7
LCM(69825,69839) = 4876508175 / 7
LCM(69825,69839) = 696644025

Least Common Multiple (LCM) of 69825 and 69839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69825 and 69839. First we will calculate the prime factors of 69825 and 69839.

Prime Factorization of 69825

Prime Factorization of 69839

Now multiplying the highest exponent prime factors to calculate the LCM of 69825 and 69839.

LCM(69825,69839) = 3¹ × 5² × 7² × 19¹ × 11¹ × 907¹
LCM(69825,69839) = 696644025