What is the Least Common Multiple of 84239 and 84257?

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 84239 and 84257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84239 and 84257, than apply into the LCM equation.

GCF(84239,84257) = 1
LCM(84239,84257) = ( 84239 × 84257) / 1
LCM(84239,84257) = 7097725423 / 1
LCM(84239,84257) = 7097725423

Least Common Multiple (LCM) of 84239 and 84257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84239 and 84257. First we will calculate the prime factors of 84239 and 84257.

Prime Factorization of 84239

Prime Factorization of 84257

Now multiplying the highest exponent prime factors to calculate the LCM of 84239 and 84257.

LCM(84239,84257) = 84239¹ × 109¹ × 773¹
LCM(84239,84257) = 7097725423