What is the Least Common Multiple of 84625 and 84635?

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 84625 and 84635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84625 and 84635, than apply into the LCM equation.

GCF(84625,84635) = 5
LCM(84625,84635) = ( 84625 × 84635) / 5
LCM(84625,84635) = 7162236875 / 5
LCM(84625,84635) = 1432447375

Least Common Multiple (LCM) of 84625 and 84635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84625 and 84635. First we will calculate the prime factors of 84625 and 84635.

Prime Factorization of 84625

Prime Factorization of 84635

Now multiplying the highest exponent prime factors to calculate the LCM of 84625 and 84635.

LCM(84625,84635) = 5³ × 677¹ × 16927¹
LCM(84625,84635) = 1432447375