What is the Least Common Multiple of 58557 and 58569?

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 58557 and 58569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58557 and 58569, than apply into the LCM equation.

GCF(58557,58569) = 3
LCM(58557,58569) = ( 58557 × 58569) / 3
LCM(58557,58569) = 3429624933 / 3
LCM(58557,58569) = 1143208311

Least Common Multiple (LCM) of 58557 and 58569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58557 and 58569. First we will calculate the prime factors of 58557 and 58569.

Prime Factorization of 58557

Prime Factorization of 58569

Now multiplying the highest exponent prime factors to calculate the LCM of 58557 and 58569.

LCM(58557,58569) = 3¹ × 131¹ × 149¹ × 7¹ × 2789¹
LCM(58557,58569) = 1143208311