What is the Least Common Multiple of 24408 and 24414?

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 24408 and 24414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24408 and 24414, than apply into the LCM equation.

GCF(24408,24414) = 6
LCM(24408,24414) = ( 24408 × 24414) / 6
LCM(24408,24414) = 595896912 / 6
LCM(24408,24414) = 99316152

Least Common Multiple (LCM) of 24408 and 24414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24408 and 24414. First we will calculate the prime factors of 24408 and 24414.

Prime Factorization of 24408

Prime Factorization of 24414

Now multiplying the highest exponent prime factors to calculate the LCM of 24408 and 24414.

LCM(24408,24414) = 2³ × 3³ × 113¹ × 13¹ × 313¹
LCM(24408,24414) = 99316152