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What is the Least Common Multiple of 22472 and 22479?

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 22472 and 22479 is 505148088.

LCM(22472,22479) = 505148088

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Least Common Multiple of 22472 and 22479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22472 and 22479, than apply into the LCM equation.

GCF(22472,22479) = 1
LCM(22472,22479) = ( 22472 × 22479) / 1
LCM(22472,22479) = 505148088 / 1
LCM(22472,22479) = 505148088

Least Common Multiple (LCM) of 22472 and 22479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22472 and 22479. First we will calculate the prime factors of 22472 and 22479.

Prime Factorization of 22472

Prime factors of 22472 are 2, 53. Prime factorization of 22472 in exponential form is:

22472 = 23 × 532

Prime Factorization of 22479

Prime factors of 22479 are 3, 59, 127. Prime factorization of 22479 in exponential form is:

22479 = 31 × 591 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 22472 and 22479.

LCM(22472,22479) = 23 × 532 × 31 × 591 × 1271
LCM(22472,22479) = 505148088