What is the Least Common Multiple of 84305 and 84318?

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 84305 and 84318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84305 and 84318, than apply into the LCM equation.

GCF(84305,84318) = 13
LCM(84305,84318) = ( 84305 × 84318) / 13
LCM(84305,84318) = 7108428990 / 13
LCM(84305,84318) = 546802230

Least Common Multiple (LCM) of 84305 and 84318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84305 and 84318. First we will calculate the prime factors of 84305 and 84318.

Prime Factorization of 84305

Prime Factorization of 84318

Now multiplying the highest exponent prime factors to calculate the LCM of 84305 and 84318.

LCM(84305,84318) = 5¹ × 13¹ × 1297¹ × 2¹ × 3¹ × 23¹ × 47¹
LCM(84305,84318) = 546802230