What is the Least Common Multiple of 84925 and 84940?

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 84925 and 84940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84925 and 84940, than apply into the LCM equation.

GCF(84925,84940) = 5
LCM(84925,84940) = ( 84925 × 84940) / 5
LCM(84925,84940) = 7213529500 / 5
LCM(84925,84940) = 1442705900

Least Common Multiple (LCM) of 84925 and 84940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84925 and 84940. First we will calculate the prime factors of 84925 and 84940.

Prime Factorization of 84925

Prime Factorization of 84940

Now multiplying the highest exponent prime factors to calculate the LCM of 84925 and 84940.

LCM(84925,84940) = 5² × 43¹ × 79¹ × 2² × 31¹ × 137¹
LCM(84925,84940) = 1442705900