What is the Least Common Multiple of 84458 and 84476?

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 84458 and 84476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84458 and 84476, than apply into the LCM equation.

GCF(84458,84476) = 2
LCM(84458,84476) = ( 84458 × 84476) / 2
LCM(84458,84476) = 7134674008 / 2
LCM(84458,84476) = 3567337004

Least Common Multiple (LCM) of 84458 and 84476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84458 and 84476. First we will calculate the prime factors of 84458 and 84476.

Prime Factorization of 84458

Prime Factorization of 84476

Now multiplying the highest exponent prime factors to calculate the LCM of 84458 and 84476.

LCM(84458,84476) = 2² × 11² × 349¹ × 7² × 431¹
LCM(84458,84476) = 3567337004