What is the Least Common Multiple of 84635 and 84655?

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 84635 and 84655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84635 and 84655, than apply into the LCM equation.

GCF(84635,84655) = 5
LCM(84635,84655) = ( 84635 × 84655) / 5
LCM(84635,84655) = 7164775925 / 5
LCM(84635,84655) = 1432955185

Least Common Multiple (LCM) of 84635 and 84655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84635 and 84655. First we will calculate the prime factors of 84635 and 84655.

Prime Factorization of 84635

Prime Factorization of 84655

Now multiplying the highest exponent prime factors to calculate the LCM of 84635 and 84655.

LCM(84635,84655) = 5¹ × 16927¹ × 16931¹
LCM(84635,84655) = 1432955185