What is the Least Common Multiple of 23562 and 23579?

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 23579 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 23579, than apply into the LCM equation.

GCF(23562,23579) = 17
LCM(23562,23579) = ( 23562 × 23579) / 17
LCM(23562,23579) = 555568398 / 17
LCM(23562,23579) = 32680494

Least Common Multiple (LCM) of 23562 and 23579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23562 and 23579. First we will calculate the prime factors of 23562 and 23579.

Prime Factorization of 23562

Prime Factorization of 23579

Now multiplying the highest exponent prime factors to calculate the LCM of 23562 and 23579.

LCM(23562,23579) = 2¹ × 3² × 7¹ × 11¹ × 17¹ × 19¹ × 73¹
LCM(23562,23579) = 32680494