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What is the Least Common Multiple of 22897 and 22907?

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 22897 and 22907 is 524501579.

LCM(22897,22907) = 524501579

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Least Common Multiple of 22897 and 22907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22897 and 22907, than apply into the LCM equation.

GCF(22897,22907) = 1
LCM(22897,22907) = ( 22897 × 22907) / 1
LCM(22897,22907) = 524501579 / 1
LCM(22897,22907) = 524501579

Least Common Multiple (LCM) of 22897 and 22907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22897 and 22907. First we will calculate the prime factors of 22897 and 22907.

Prime Factorization of 22897

Prime factors of 22897 are 7, 3271. Prime factorization of 22897 in exponential form is:

22897 = 71 × 32711

Prime Factorization of 22907

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

22907 = 229071

Now multiplying the highest exponent prime factors to calculate the LCM of 22897 and 22907.

LCM(22897,22907) = 71 × 32711 × 229071
LCM(22897,22907) = 524501579