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What is the Least Common Multiple of 22476 and 22481?

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 22476 and 22481 is 505282956.

LCM(22476,22481) = 505282956

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Least Common Multiple of 22476 and 22481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22476 and 22481, than apply into the LCM equation.

GCF(22476,22481) = 1
LCM(22476,22481) = ( 22476 × 22481) / 1
LCM(22476,22481) = 505282956 / 1
LCM(22476,22481) = 505282956

Least Common Multiple (LCM) of 22476 and 22481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22476 and 22481. First we will calculate the prime factors of 22476 and 22481.

Prime Factorization of 22476

Prime factors of 22476 are 2, 3, 1873. Prime factorization of 22476 in exponential form is:

22476 = 22 × 31 × 18731

Prime Factorization of 22481

Prime factors of 22481 are 22481. Prime factorization of 22481 in exponential form is:

22481 = 224811

Now multiplying the highest exponent prime factors to calculate the LCM of 22476 and 22481.

LCM(22476,22481) = 22 × 31 × 18731 × 224811
LCM(22476,22481) = 505282956