What is the Least Common Multiple of 83640 and 83649?

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 83640 and 83649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83640 and 83649, than apply into the LCM equation.

GCF(83640,83649) = 3
LCM(83640,83649) = ( 83640 × 83649) / 3
LCM(83640,83649) = 6996402360 / 3
LCM(83640,83649) = 2332134120

Least Common Multiple (LCM) of 83640 and 83649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83640 and 83649. First we will calculate the prime factors of 83640 and 83649.

Prime Factorization of 83640

Prime Factorization of 83649

Now multiplying the highest exponent prime factors to calculate the LCM of 83640 and 83649.

LCM(83640,83649) = 2³ × 3¹ × 5¹ × 17¹ × 41¹ × 27883¹
LCM(83640,83649) = 2332134120