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What is the Least Common Multiple of 22972 and 22987?

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 22972 and 22987 is 528057364.

LCM(22972,22987) = 528057364

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Least Common Multiple of 22972 and 22987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22972 and 22987, than apply into the LCM equation.

GCF(22972,22987) = 1
LCM(22972,22987) = ( 22972 × 22987) / 1
LCM(22972,22987) = 528057364 / 1
LCM(22972,22987) = 528057364

Least Common Multiple (LCM) of 22972 and 22987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22972 and 22987. First we will calculate the prime factors of 22972 and 22987.

Prime Factorization of 22972

Prime factors of 22972 are 2, 5743. Prime factorization of 22972 in exponential form is:

22972 = 22 × 57431

Prime Factorization of 22987

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

22987 = 1271 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 22972 and 22987.

LCM(22972,22987) = 22 × 57431 × 1271 × 1811
LCM(22972,22987) = 528057364