What is the Least Common Multiple of 24560 and 24569?

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 24560 and 24569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24560 and 24569, than apply into the LCM equation.

GCF(24560,24569) = 1
LCM(24560,24569) = ( 24560 × 24569) / 1
LCM(24560,24569) = 603414640 / 1
LCM(24560,24569) = 603414640

Least Common Multiple (LCM) of 24560 and 24569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24560 and 24569. First we will calculate the prime factors of 24560 and 24569.

Prime Factorization of 24560

Prime Factorization of 24569

Now multiplying the highest exponent prime factors to calculate the LCM of 24560 and 24569.

LCM(24560,24569) = 2⁴ × 5¹ × 307¹ × 79¹ × 311¹
LCM(24560,24569) = 603414640