What is the Least Common Multiple of 83075 and 83084?

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 83075 and 83084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83075 and 83084, than apply into the LCM equation.

GCF(83075,83084) = 1
LCM(83075,83084) = ( 83075 × 83084) / 1
LCM(83075,83084) = 6902203300 / 1
LCM(83075,83084) = 6902203300

Least Common Multiple (LCM) of 83075 and 83084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83075 and 83084. First we will calculate the prime factors of 83075 and 83084.

Prime Factorization of 83075

Prime Factorization of 83084

Now multiplying the highest exponent prime factors to calculate the LCM of 83075 and 83084.

LCM(83075,83084) = 5² × 3323¹ × 2² × 20771¹
LCM(83075,83084) = 6902203300