What is the Least Common Multiple of 69361 and 69367?

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 69361 and 69367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69361 and 69367, than apply into the LCM equation.

GCF(69361,69367) = 1
LCM(69361,69367) = ( 69361 × 69367) / 1
LCM(69361,69367) = 4811364487 / 1
LCM(69361,69367) = 4811364487

Least Common Multiple (LCM) of 69361 and 69367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69361 and 69367. First we will calculate the prime factors of 69361 and 69367.

Prime Factorization of 69361

Prime Factorization of 69367

Now multiplying the highest exponent prime factors to calculate the LCM of 69361 and 69367.

LCM(69361,69367) = 139¹ × 499¹ × 71¹ × 977¹
LCM(69361,69367) = 4811364487