What is the Least Common Multiple of 16965 and 16975?

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 16965 and 16975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16965 and 16975, than apply into the LCM equation.

GCF(16965,16975) = 5
LCM(16965,16975) = ( 16965 × 16975) / 5
LCM(16965,16975) = 287980875 / 5
LCM(16965,16975) = 57596175

Least Common Multiple (LCM) of 16965 and 16975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16965 and 16975. First we will calculate the prime factors of 16965 and 16975.

Prime Factorization of 16965

Prime Factorization of 16975

Now multiplying the highest exponent prime factors to calculate the LCM of 16965 and 16975.

LCM(16965,16975) = 3² × 5² × 13¹ × 29¹ × 7¹ × 97¹
LCM(16965,16975) = 57596175