What is the Least Common Multiple of 24804 and 24814?

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 24804 and 24814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24804 and 24814, than apply into the LCM equation.

GCF(24804,24814) = 2
LCM(24804,24814) = ( 24804 × 24814) / 2
LCM(24804,24814) = 615486456 / 2
LCM(24804,24814) = 307743228

Least Common Multiple (LCM) of 24804 and 24814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24804 and 24814. First we will calculate the prime factors of 24804 and 24814.

Prime Factorization of 24804

Prime Factorization of 24814

Now multiplying the highest exponent prime factors to calculate the LCM of 24804 and 24814.

LCM(24804,24814) = 2² × 3² × 13¹ × 53¹ × 19¹ × 653¹
LCM(24804,24814) = 307743228