What is the Least Common Multiple of 32895 and 32900?

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 32895 and 32900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32895 and 32900, than apply into the LCM equation.

GCF(32895,32900) = 5
LCM(32895,32900) = ( 32895 × 32900) / 5
LCM(32895,32900) = 1082245500 / 5
LCM(32895,32900) = 216449100

Least Common Multiple (LCM) of 32895 and 32900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32895 and 32900. First we will calculate the prime factors of 32895 and 32900.

Prime Factorization of 32895

Prime Factorization of 32900

Now multiplying the highest exponent prime factors to calculate the LCM of 32895 and 32900.

LCM(32895,32900) = 3² × 5² × 17¹ × 43¹ × 2² × 7¹ × 47¹
LCM(32895,32900) = 216449100