What is the Least Common Multiple of 83925 and 83936?

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 83925 and 83936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83925 and 83936, than apply into the LCM equation.

GCF(83925,83936) = 1
LCM(83925,83936) = ( 83925 × 83936) / 1
LCM(83925,83936) = 7044328800 / 1
LCM(83925,83936) = 7044328800

Least Common Multiple (LCM) of 83925 and 83936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83925 and 83936. First we will calculate the prime factors of 83925 and 83936.

Prime Factorization of 83925

Prime Factorization of 83936

Now multiplying the highest exponent prime factors to calculate the LCM of 83925 and 83936.

LCM(83925,83936) = 3² × 5² × 373¹ × 2⁵ × 43¹ × 61¹
LCM(83925,83936) = 7044328800