What is the Least Common Multiple of 84385 and 84397?

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 84385 and 84397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84385 and 84397, than apply into the LCM equation.

GCF(84385,84397) = 1
LCM(84385,84397) = ( 84385 × 84397) / 1
LCM(84385,84397) = 7121840845 / 1
LCM(84385,84397) = 7121840845

Least Common Multiple (LCM) of 84385 and 84397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84385 and 84397. First we will calculate the prime factors of 84385 and 84397.

Prime Factorization of 84385

Prime Factorization of 84397

Now multiplying the highest exponent prime factors to calculate the LCM of 84385 and 84397.

LCM(84385,84397) = 5¹ × 7¹ × 2411¹ × 37¹ × 2281¹
LCM(84385,84397) = 7121840845