What is the Least Common Multiple of 83625 and 83634?

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 83625 and 83634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83625 and 83634, than apply into the LCM equation.

GCF(83625,83634) = 3
LCM(83625,83634) = ( 83625 × 83634) / 3
LCM(83625,83634) = 6993893250 / 3
LCM(83625,83634) = 2331297750

Least Common Multiple (LCM) of 83625 and 83634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83625 and 83634. First we will calculate the prime factors of 83625 and 83634.

Prime Factorization of 83625

Prime Factorization of 83634

Now multiplying the highest exponent prime factors to calculate the LCM of 83625 and 83634.

LCM(83625,83634) = 3¹ × 5³ × 223¹ × 2¹ × 53¹ × 263¹
LCM(83625,83634) = 2331297750