What is the Least Common Multiple of 84351 and 84367?

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 84351 and 84367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84351 and 84367, than apply into the LCM equation.

GCF(84351,84367) = 1
LCM(84351,84367) = ( 84351 × 84367) / 1
LCM(84351,84367) = 7116440817 / 1
LCM(84351,84367) = 7116440817

Least Common Multiple (LCM) of 84351 and 84367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84351 and 84367. First we will calculate the prime factors of 84351 and 84367.

Prime Factorization of 84351

Prime Factorization of 84367

Now multiplying the highest exponent prime factors to calculate the LCM of 84351 and 84367.

LCM(84351,84367) = 3¹ × 31¹ × 907¹ × 239¹ × 353¹
LCM(84351,84367) = 7116440817