What is the Least Common Multiple of 24900 and 24904?

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 24900 and 24904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24900 and 24904, than apply into the LCM equation.

GCF(24900,24904) = 4
LCM(24900,24904) = ( 24900 × 24904) / 4
LCM(24900,24904) = 620109600 / 4
LCM(24900,24904) = 155027400

Least Common Multiple (LCM) of 24900 and 24904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24900 and 24904. First we will calculate the prime factors of 24900 and 24904.

Prime Factorization of 24900

Prime Factorization of 24904

Now multiplying the highest exponent prime factors to calculate the LCM of 24900 and 24904.

LCM(24900,24904) = 2³ × 3¹ × 5² × 83¹ × 11¹ × 283¹
LCM(24900,24904) = 155027400