What is the Least Common Multiple of 69579 and 69599?

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 69579 and 69599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69579 and 69599, than apply into the LCM equation.

GCF(69579,69599) = 1
LCM(69579,69599) = ( 69579 × 69599) / 1
LCM(69579,69599) = 4842628821 / 1
LCM(69579,69599) = 4842628821

Least Common Multiple (LCM) of 69579 and 69599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69579 and 69599. First we will calculate the prime factors of 69579 and 69599.

Prime Factorization of 69579

Prime Factorization of 69599

Now multiplying the highest exponent prime factors to calculate the LCM of 69579 and 69599.

LCM(69579,69599) = 3⁴ × 859¹ × 79¹ × 881¹
LCM(69579,69599) = 4842628821