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What is the Least Common Multiple of 66531 and 66537?

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 66531 and 66537 is 1475591049.

LCM(66531,66537) = 1475591049

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Least Common Multiple of 66531 and 66537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66531 and 66537, than apply into the LCM equation.

GCF(66531,66537) = 3
LCM(66531,66537) = ( 66531 × 66537) / 3
LCM(66531,66537) = 4426773147 / 3
LCM(66531,66537) = 1475591049

Least Common Multiple (LCM) of 66531 and 66537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66531 and 66537. First we will calculate the prime factors of 66531 and 66537.

Prime Factorization of 66531

Prime factors of 66531 are 3, 67, 331. Prime factorization of 66531 in exponential form is:

66531 = 31 × 671 × 3311

Prime Factorization of 66537

Prime factors of 66537 are 3, 7393. Prime factorization of 66537 in exponential form is:

66537 = 32 × 73931

Now multiplying the highest exponent prime factors to calculate the LCM of 66531 and 66537.

LCM(66531,66537) = 32 × 671 × 3311 × 73931
LCM(66531,66537) = 1475591049