What is the Least Common Multiple of 84335 and 84343?

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 84335 and 84343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84335 and 84343, than apply into the LCM equation.

GCF(84335,84343) = 1
LCM(84335,84343) = ( 84335 × 84343) / 1
LCM(84335,84343) = 7113066905 / 1
LCM(84335,84343) = 7113066905

Least Common Multiple (LCM) of 84335 and 84343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84335 and 84343. First we will calculate the prime factors of 84335 and 84343.

Prime Factorization of 84335

Prime Factorization of 84343

Now multiplying the highest exponent prime factors to calculate the LCM of 84335 and 84343.

LCM(84335,84343) = 5¹ × 101¹ × 167¹ × 7¹ × 12049¹
LCM(84335,84343) = 7113066905