What is the Least Common Multiple of 24100 and 24112?

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 24100 and 24112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24100 and 24112, than apply into the LCM equation.

GCF(24100,24112) = 4
LCM(24100,24112) = ( 24100 × 24112) / 4
LCM(24100,24112) = 581099200 / 4
LCM(24100,24112) = 145274800

Least Common Multiple (LCM) of 24100 and 24112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24100 and 24112. First we will calculate the prime factors of 24100 and 24112.

Prime Factorization of 24100

Prime Factorization of 24112

Now multiplying the highest exponent prime factors to calculate the LCM of 24100 and 24112.

LCM(24100,24112) = 2⁴ × 5² × 241¹ × 11¹ × 137¹
LCM(24100,24112) = 145274800