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What is the Least Common Multiple of 22486 and 22501?

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 22486 and 22501 is 505957486.

LCM(22486,22501) = 505957486

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Least Common Multiple of 22486 and 22501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22486 and 22501, than apply into the LCM equation.

GCF(22486,22501) = 1
LCM(22486,22501) = ( 22486 × 22501) / 1
LCM(22486,22501) = 505957486 / 1
LCM(22486,22501) = 505957486

Least Common Multiple (LCM) of 22486 and 22501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22486 and 22501. First we will calculate the prime factors of 22486 and 22501.

Prime Factorization of 22486

Prime factors of 22486 are 2, 11243. Prime factorization of 22486 in exponential form is:

22486 = 21 × 112431

Prime Factorization of 22501

Prime factors of 22501 are 22501. Prime factorization of 22501 in exponential form is:

22501 = 225011

Now multiplying the highest exponent prime factors to calculate the LCM of 22486 and 22501.

LCM(22486,22501) = 21 × 112431 × 225011
LCM(22486,22501) = 505957486