What is the Least Common Multiple of 23557 and 23562?

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 23557 and 23562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23557 and 23562, than apply into the LCM equation.

GCF(23557,23562) = 1
LCM(23557,23562) = ( 23557 × 23562) / 1
LCM(23557,23562) = 555050034 / 1
LCM(23557,23562) = 555050034

Least Common Multiple (LCM) of 23557 and 23562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23557 and 23562. First we will calculate the prime factors of 23557 and 23562.

Prime Factorization of 23557

Prime Factorization of 23562

Now multiplying the highest exponent prime factors to calculate the LCM of 23557 and 23562.

LCM(23557,23562) = 23557¹ × 2¹ × 3² × 7¹ × 11¹ × 17¹
LCM(23557,23562) = 555050034