What is the Least Common Multiple of 17965 and 17969?

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 17965 and 17969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17965 and 17969, than apply into the LCM equation.

GCF(17965,17969) = 1
LCM(17965,17969) = ( 17965 × 17969) / 1
LCM(17965,17969) = 322813085 / 1
LCM(17965,17969) = 322813085

Least Common Multiple (LCM) of 17965 and 17969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17965 and 17969. First we will calculate the prime factors of 17965 and 17969.

Prime Factorization of 17965

Prime Factorization of 17969

Now multiplying the highest exponent prime factors to calculate the LCM of 17965 and 17969.

LCM(17965,17969) = 5¹ × 3593¹ × 7¹ × 17¹ × 151¹
LCM(17965,17969) = 322813085