What is the Least Common Multiple of 24360 and 24369?

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 24360 and 24369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24360 and 24369, than apply into the LCM equation.

GCF(24360,24369) = 3
LCM(24360,24369) = ( 24360 × 24369) / 3
LCM(24360,24369) = 593628840 / 3
LCM(24360,24369) = 197876280

Least Common Multiple (LCM) of 24360 and 24369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24360 and 24369. First we will calculate the prime factors of 24360 and 24369.

Prime Factorization of 24360

Prime Factorization of 24369

Now multiplying the highest exponent prime factors to calculate the LCM of 24360 and 24369.

LCM(24360,24369) = 2³ × 3¹ × 5¹ × 7¹ × 29¹ × 8123¹
LCM(24360,24369) = 197876280