What is the Least Common Multiple of 24400 and 24416?

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 24400 and 24416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24400 and 24416, than apply into the LCM equation.

GCF(24400,24416) = 16
LCM(24400,24416) = ( 24400 × 24416) / 16
LCM(24400,24416) = 595750400 / 16
LCM(24400,24416) = 37234400

Least Common Multiple (LCM) of 24400 and 24416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24400 and 24416. First we will calculate the prime factors of 24400 and 24416.

Prime Factorization of 24400

Prime Factorization of 24416

Now multiplying the highest exponent prime factors to calculate the LCM of 24400 and 24416.

LCM(24400,24416) = 2⁵ × 5² × 61¹ × 7¹ × 109¹
LCM(24400,24416) = 37234400