What is the Least Common Multiple of 24414 and 24428?

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 24414 and 24428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24414 and 24428, than apply into the LCM equation.

GCF(24414,24428) = 2
LCM(24414,24428) = ( 24414 × 24428) / 2
LCM(24414,24428) = 596385192 / 2
LCM(24414,24428) = 298192596

Least Common Multiple (LCM) of 24414 and 24428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24414 and 24428. First we will calculate the prime factors of 24414 and 24428.

Prime Factorization of 24414

Prime Factorization of 24428

Now multiplying the highest exponent prime factors to calculate the LCM of 24414 and 24428.

LCM(24414,24428) = 2² × 3¹ × 13¹ × 313¹ × 31¹ × 197¹
LCM(24414,24428) = 298192596