What is the Least Common Multiple of 17964 and 17970?

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 17964 and 17970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17964 and 17970, than apply into the LCM equation.

GCF(17964,17970) = 6
LCM(17964,17970) = ( 17964 × 17970) / 6
LCM(17964,17970) = 322813080 / 6
LCM(17964,17970) = 53802180

Least Common Multiple (LCM) of 17964 and 17970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17964 and 17970. First we will calculate the prime factors of 17964 and 17970.

Prime Factorization of 17964

Prime Factorization of 17970

Now multiplying the highest exponent prime factors to calculate the LCM of 17964 and 17970.

LCM(17964,17970) = 2² × 3² × 499¹ × 5¹ × 599¹
LCM(17964,17970) = 53802180