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What is the Least Common Multiple of 24477 and 24481?

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 (LCM) of 24477 and 24481 is 599221437.

LCM(24477,24481) = 599221437

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Least Common Multiple of 24477 and 24481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24477 and 24481, than apply into the LCM equation.

GCF(24477,24481) = 1
LCM(24477,24481) = ( 24477 × 24481) / 1
LCM(24477,24481) = 599221437 / 1
LCM(24477,24481) = 599221437

Least Common Multiple (LCM) of 24477 and 24481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24477 and 24481. First we will calculate the prime factors of 24477 and 24481.

Prime Factorization of 24477

Prime factors of 24477 are 3, 41, 199. Prime factorization of 24477 in exponential form is:

24477 = 31 × 411 × 1991

Prime Factorization of 24481

Prime factors of 24481 are 24481. Prime factorization of 24481 in exponential form is:

24481 = 244811

Now multiplying the highest exponent prime factors to calculate the LCM of 24477 and 24481.

LCM(24477,24481) = 31 × 411 × 1991 × 244811
LCM(24477,24481) = 599221437