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What is the Least Common Multiple of 66872 and 66887?

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 66872 and 66887 is 4472867464.

LCM(66872,66887) = 4472867464

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Least Common Multiple of 66872 and 66887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66872 and 66887, than apply into the LCM equation.

GCF(66872,66887) = 1
LCM(66872,66887) = ( 66872 × 66887) / 1
LCM(66872,66887) = 4472867464 / 1
LCM(66872,66887) = 4472867464

Least Common Multiple (LCM) of 66872 and 66887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66872 and 66887. First we will calculate the prime factors of 66872 and 66887.

Prime Factorization of 66872

Prime factors of 66872 are 2, 13, 643. Prime factorization of 66872 in exponential form is:

66872 = 23 × 131 × 6431

Prime Factorization of 66887

Prime factors of 66887 are 211, 317. Prime factorization of 66887 in exponential form is:

66887 = 2111 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 66872 and 66887.

LCM(66872,66887) = 23 × 131 × 6431 × 2111 × 3171
LCM(66872,66887) = 4472867464