What is the Least Common Multiple of 17955 and 17964?

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 17955 and 17964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17955 and 17964, than apply into the LCM equation.

GCF(17955,17964) = 9
LCM(17955,17964) = ( 17955 × 17964) / 9
LCM(17955,17964) = 322543620 / 9
LCM(17955,17964) = 35838180

Least Common Multiple (LCM) of 17955 and 17964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17955 and 17964. First we will calculate the prime factors of 17955 and 17964.

Prime Factorization of 17955

Prime Factorization of 17964

Now multiplying the highest exponent prime factors to calculate the LCM of 17955 and 17964.

LCM(17955,17964) = 3³ × 5¹ × 7¹ × 19¹ × 2² × 499¹
LCM(17955,17964) = 35838180