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What is the Least Common Multiple of 22987 and 23000?

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 22987 and 23000 is 528701000.

LCM(22987,23000) = 528701000

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Least Common Multiple of 22987 and 23000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22987 and 23000, than apply into the LCM equation.

GCF(22987,23000) = 1
LCM(22987,23000) = ( 22987 × 23000) / 1
LCM(22987,23000) = 528701000 / 1
LCM(22987,23000) = 528701000

Least Common Multiple (LCM) of 22987 and 23000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22987 and 23000. First we will calculate the prime factors of 22987 and 23000.

Prime Factorization of 22987

Prime factors of 22987 are 127, 181. Prime factorization of 22987 in exponential form is:

22987 = 1271 × 1811

Prime Factorization of 23000

Prime factors of 23000 are 2, 5, 23. Prime factorization of 23000 in exponential form is:

23000 = 23 × 53 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 22987 and 23000.

LCM(22987,23000) = 1271 × 1811 × 23 × 53 × 231
LCM(22987,23000) = 528701000