What is the Least Common Multiple of 23562 and 23577?

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 23562 and 23577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23562 and 23577, than apply into the LCM equation.

GCF(23562,23577) = 3
LCM(23562,23577) = ( 23562 × 23577) / 3
LCM(23562,23577) = 555521274 / 3
LCM(23562,23577) = 185173758

Least Common Multiple (LCM) of 23562 and 23577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23562 and 23577. First we will calculate the prime factors of 23562 and 23577.

Prime Factorization of 23562

Prime Factorization of 23577

Now multiplying the highest exponent prime factors to calculate the LCM of 23562 and 23577.

LCM(23562,23577) = 2¹ × 3² × 7¹ × 11¹ × 17¹ × 29¹ × 271¹
LCM(23562,23577) = 185173758