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What is the Least Common Multiple of 22361 and 22380?

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 22361 and 22380 is 500439180.

LCM(22361,22380) = 500439180

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Least Common Multiple of 22361 and 22380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22361 and 22380, than apply into the LCM equation.

GCF(22361,22380) = 1
LCM(22361,22380) = ( 22361 × 22380) / 1
LCM(22361,22380) = 500439180 / 1
LCM(22361,22380) = 500439180

Least Common Multiple (LCM) of 22361 and 22380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22361 and 22380. First we will calculate the prime factors of 22361 and 22380.

Prime Factorization of 22361

Prime factors of 22361 are 59, 379. Prime factorization of 22361 in exponential form is:

22361 = 591 × 3791

Prime Factorization of 22380

Prime factors of 22380 are 2, 3, 5, 373. Prime factorization of 22380 in exponential form is:

22380 = 22 × 31 × 51 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 22361 and 22380.

LCM(22361,22380) = 591 × 3791 × 22 × 31 × 51 × 3731
LCM(22361,22380) = 500439180