What is the Least Common Multiple of 17955 and 17965?

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 17965 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 17965, than apply into the LCM equation.

GCF(17955,17965) = 5
LCM(17955,17965) = ( 17955 × 17965) / 5
LCM(17955,17965) = 322561575 / 5
LCM(17955,17965) = 64512315

Least Common Multiple (LCM) of 17955 and 17965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17955 and 17965. First we will calculate the prime factors of 17955 and 17965.

Prime Factorization of 17955

Prime Factorization of 17965

Now multiplying the highest exponent prime factors to calculate the LCM of 17955 and 17965.

LCM(17955,17965) = 3³ × 5¹ × 7¹ × 19¹ × 3593¹
LCM(17955,17965) = 64512315