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What is the Least Common Multiple of 22888 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 22888 and 22907 is 524295416.

LCM(22888,22907) = 524295416

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Least Common Multiple of 22888 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 22888 and 22907, than apply into the LCM equation.

GCF(22888,22907) = 1
LCM(22888,22907) = ( 22888 × 22907) / 1
LCM(22888,22907) = 524295416 / 1
LCM(22888,22907) = 524295416

Least Common Multiple (LCM) of 22888 and 22907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22888 and 22907. First we will calculate the prime factors of 22888 and 22907.

Prime Factorization of 22888

Prime factors of 22888 are 2, 2861. Prime factorization of 22888 in exponential form is:

22888 = 23 × 28611

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 22888 and 22907.

LCM(22888,22907) = 23 × 28611 × 229071
LCM(22888,22907) = 524295416