What is the Least Common Multiple of 84900 and 84905?

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 84900 and 84905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84900 and 84905, than apply into the LCM equation.

GCF(84900,84905) = 5
LCM(84900,84905) = ( 84900 × 84905) / 5
LCM(84900,84905) = 7208434500 / 5
LCM(84900,84905) = 1441686900

Least Common Multiple (LCM) of 84900 and 84905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84900 and 84905. First we will calculate the prime factors of 84900 and 84905.

Prime Factorization of 84900

Prime Factorization of 84905

Now multiplying the highest exponent prime factors to calculate the LCM of 84900 and 84905.

LCM(84900,84905) = 2² × 3¹ × 5² × 283¹ × 16981¹
LCM(84900,84905) = 1441686900