What is the Least Common Multiple of 59469 and 59481?

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 59469 and 59481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59469 and 59481, than apply into the LCM equation.

GCF(59469,59481) = 3
LCM(59469,59481) = ( 59469 × 59481) / 3
LCM(59469,59481) = 3537275589 / 3
LCM(59469,59481) = 1179091863

Least Common Multiple (LCM) of 59469 and 59481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59469 and 59481. First we will calculate the prime factors of 59469 and 59481.

Prime Factorization of 59469

Prime Factorization of 59481

Now multiplying the highest exponent prime factors to calculate the LCM of 59469 and 59481.

LCM(59469,59481) = 3³ × 43¹ × 461¹ × 2203¹
LCM(59469,59481) = 1179091863