What is the Least Common Multiple of 84635 and 84650?

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 84650 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 84650, than apply into the LCM equation.

GCF(84635,84650) = 5
LCM(84635,84650) = ( 84635 × 84650) / 5
LCM(84635,84650) = 7164352750 / 5
LCM(84635,84650) = 1432870550

Least Common Multiple (LCM) of 84635 and 84650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84635 and 84650. First we will calculate the prime factors of 84635 and 84650.

Prime Factorization of 84635

Prime Factorization of 84650

Now multiplying the highest exponent prime factors to calculate the LCM of 84635 and 84650.

LCM(84635,84650) = 5² × 16927¹ × 2¹ × 1693¹
LCM(84635,84650) = 1432870550