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What is the Least Common Multiple of 22477 and 22495?

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 22477 and 22495 is 505620115.

LCM(22477,22495) = 505620115

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Least Common Multiple of 22477 and 22495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22477 and 22495, than apply into the LCM equation.

GCF(22477,22495) = 1
LCM(22477,22495) = ( 22477 × 22495) / 1
LCM(22477,22495) = 505620115 / 1
LCM(22477,22495) = 505620115

Least Common Multiple (LCM) of 22477 and 22495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22477 and 22495. First we will calculate the prime factors of 22477 and 22495.

Prime Factorization of 22477

Prime factors of 22477 are 7, 13, 19. Prime factorization of 22477 in exponential form is:

22477 = 71 × 132 × 191

Prime Factorization of 22495

Prime factors of 22495 are 5, 11, 409. Prime factorization of 22495 in exponential form is:

22495 = 51 × 111 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 22477 and 22495.

LCM(22477,22495) = 71 × 132 × 191 × 51 × 111 × 4091
LCM(22477,22495) = 505620115