What is the Least Common Multiple of 32925 and 32934?

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 32925 and 32934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32925 and 32934, than apply into the LCM equation.

GCF(32925,32934) = 3
LCM(32925,32934) = ( 32925 × 32934) / 3
LCM(32925,32934) = 1084351950 / 3
LCM(32925,32934) = 361450650

Least Common Multiple (LCM) of 32925 and 32934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32925 and 32934. First we will calculate the prime factors of 32925 and 32934.

Prime Factorization of 32925

Prime Factorization of 32934

Now multiplying the highest exponent prime factors to calculate the LCM of 32925 and 32934.

LCM(32925,32934) = 3¹ × 5² × 439¹ × 2¹ × 11¹ × 499¹
LCM(32925,32934) = 361450650