What is the Least Common Multiple of 83925 and 83934?

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 83934 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 83934, than apply into the LCM equation.

GCF(83925,83934) = 9
LCM(83925,83934) = ( 83925 × 83934) / 9
LCM(83925,83934) = 7044160950 / 9
LCM(83925,83934) = 782684550

Least Common Multiple (LCM) of 83925 and 83934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83925 and 83934. First we will calculate the prime factors of 83925 and 83934.

Prime Factorization of 83925

Prime Factorization of 83934

Now multiplying the highest exponent prime factors to calculate the LCM of 83925 and 83934.

LCM(83925,83934) = 3² × 5² × 373¹ × 2¹ × 4663¹
LCM(83925,83934) = 782684550