What is the Least Common Multiple of 84613 and 84629?

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 84613 and 84629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84613 and 84629, than apply into the LCM equation.

GCF(84613,84629) = 1
LCM(84613,84629) = ( 84613 × 84629) / 1
LCM(84613,84629) = 7160713577 / 1
LCM(84613,84629) = 7160713577

Least Common Multiple (LCM) of 84613 and 84629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84613 and 84629. First we will calculate the prime factors of 84613 and 84629.

Prime Factorization of 84613

Prime Factorization of 84629

Now multiplying the highest exponent prime factors to calculate the LCM of 84613 and 84629.

LCM(84613,84629) = 191¹ × 443¹ × 84629¹
LCM(84613,84629) = 7160713577