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What is the Least Common Multiple of 22907 and 22922?

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 22907 and 22922 is 525074254.

LCM(22907,22922) = 525074254

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Least Common Multiple of 22907 and 22922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22907 and 22922, than apply into the LCM equation.

GCF(22907,22922) = 1
LCM(22907,22922) = ( 22907 × 22922) / 1
LCM(22907,22922) = 525074254 / 1
LCM(22907,22922) = 525074254

Least Common Multiple (LCM) of 22907 and 22922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22907 and 22922. First we will calculate the prime factors of 22907 and 22922.

Prime Factorization of 22907

Prime factors of 22907 are 22907. Prime factorization of 22907 in exponential form is:

22907 = 229071

Prime Factorization of 22922

Prime factors of 22922 are 2, 73, 157. Prime factorization of 22922 in exponential form is:

22922 = 21 × 731 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 22907 and 22922.

LCM(22907,22922) = 229071 × 21 × 731 × 1571
LCM(22907,22922) = 525074254