What is the Least Common Multiple of 84218 and 84235?

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 84218 and 84235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84218 and 84235, than apply into the LCM equation.

GCF(84218,84235) = 17
LCM(84218,84235) = ( 84218 × 84235) / 17
LCM(84218,84235) = 7094103230 / 17
LCM(84218,84235) = 417300190

Least Common Multiple (LCM) of 84218 and 84235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84218 and 84235. First we will calculate the prime factors of 84218 and 84235.

Prime Factorization of 84218

Prime Factorization of 84235

Now multiplying the highest exponent prime factors to calculate the LCM of 84218 and 84235.

LCM(84218,84235) = 2¹ × 17¹ × 2477¹ × 5¹ × 991¹
LCM(84218,84235) = 417300190