What is the Least Common Multiple of 83454 and 83468?

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 83454 and 83468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83454 and 83468, than apply into the LCM equation.

GCF(83454,83468) = 14
LCM(83454,83468) = ( 83454 × 83468) / 14
LCM(83454,83468) = 6965738472 / 14
LCM(83454,83468) = 497552748

Least Common Multiple (LCM) of 83454 and 83468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83454 and 83468. First we will calculate the prime factors of 83454 and 83468.

Prime Factorization of 83454

Prime Factorization of 83468

Now multiplying the highest exponent prime factors to calculate the LCM of 83454 and 83468.

LCM(83454,83468) = 2² × 3¹ × 7¹ × 1987¹ × 11¹ × 271¹
LCM(83454,83468) = 497552748