What is the Least Common Multiple of 24844 and 24860?

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 24844 and 24860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24844 and 24860, than apply into the LCM equation.

GCF(24844,24860) = 4
LCM(24844,24860) = ( 24844 × 24860) / 4
LCM(24844,24860) = 617621840 / 4
LCM(24844,24860) = 154405460

Least Common Multiple (LCM) of 24844 and 24860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24844 and 24860. First we will calculate the prime factors of 24844 and 24860.

Prime Factorization of 24844

Prime Factorization of 24860

Now multiplying the highest exponent prime factors to calculate the LCM of 24844 and 24860.

LCM(24844,24860) = 2² × 6211¹ × 5¹ × 11¹ × 113¹
LCM(24844,24860) = 154405460