What is the Least Common Multiple of 24558 and 24567?

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 24558 and 24567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24558 and 24567, than apply into the LCM equation.

GCF(24558,24567) = 3
LCM(24558,24567) = ( 24558 × 24567) / 3
LCM(24558,24567) = 603316386 / 3
LCM(24558,24567) = 201105462

Least Common Multiple (LCM) of 24558 and 24567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24558 and 24567. First we will calculate the prime factors of 24558 and 24567.

Prime Factorization of 24558

Prime Factorization of 24567

Now multiplying the highest exponent prime factors to calculate the LCM of 24558 and 24567.

LCM(24558,24567) = 2¹ × 3¹ × 4093¹ × 19¹ × 431¹
LCM(24558,24567) = 201105462