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What is the Least Common Multiple of 22277 and 22291?

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 22277 and 22291 is 496576607.

LCM(22277,22291) = 496576607

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Least Common Multiple of 22277 and 22291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22277 and 22291, than apply into the LCM equation.

GCF(22277,22291) = 1
LCM(22277,22291) = ( 22277 × 22291) / 1
LCM(22277,22291) = 496576607 / 1
LCM(22277,22291) = 496576607

Least Common Multiple (LCM) of 22277 and 22291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22277 and 22291. First we will calculate the prime factors of 22277 and 22291.

Prime Factorization of 22277

Prime factors of 22277 are 22277. Prime factorization of 22277 in exponential form is:

22277 = 222771

Prime Factorization of 22291

Prime factors of 22291 are 22291. Prime factorization of 22291 in exponential form is:

22291 = 222911

Now multiplying the highest exponent prime factors to calculate the LCM of 22277 and 22291.

LCM(22277,22291) = 222771 × 222911
LCM(22277,22291) = 496576607