GCF and LCM Calculator Logo

What is the Least Common Multiple of 84426 and 84445?

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 (LCM) of 84426 and 84445 is 7129353570.

LCM(84426,84445) = 7129353570

LCM Calculator and
and

Least Common Multiple of 84426 and 84445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84426 and 84445, than apply into the LCM equation.

GCF(84426,84445) = 1
LCM(84426,84445) = ( 84426 × 84445) / 1
LCM(84426,84445) = 7129353570 / 1
LCM(84426,84445) = 7129353570

Least Common Multiple (LCM) of 84426 and 84445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84426 and 84445. First we will calculate the prime factors of 84426 and 84445.

Prime Factorization of 84426

Prime factors of 84426 are 2, 3, 14071. Prime factorization of 84426 in exponential form is:

84426 = 21 × 31 × 140711

Prime Factorization of 84445

Prime factors of 84445 are 5, 16889. Prime factorization of 84445 in exponential form is:

84445 = 51 × 168891

Now multiplying the highest exponent prime factors to calculate the LCM of 84426 and 84445.

LCM(84426,84445) = 21 × 31 × 140711 × 51 × 168891
LCM(84426,84445) = 7129353570