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What is the Least Common Multiple of 66725 and 66731?

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 66725 and 66731 is 4452625975.

LCM(66725,66731) = 4452625975

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Least Common Multiple of 66725 and 66731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66725 and 66731, than apply into the LCM equation.

GCF(66725,66731) = 1
LCM(66725,66731) = ( 66725 × 66731) / 1
LCM(66725,66731) = 4452625975 / 1
LCM(66725,66731) = 4452625975

Least Common Multiple (LCM) of 66725 and 66731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66725 and 66731. First we will calculate the prime factors of 66725 and 66731.

Prime Factorization of 66725

Prime factors of 66725 are 5, 17, 157. Prime factorization of 66725 in exponential form is:

66725 = 52 × 171 × 1571

Prime Factorization of 66731

Prime factors of 66731 are 7, 9533. Prime factorization of 66731 in exponential form is:

66731 = 71 × 95331

Now multiplying the highest exponent prime factors to calculate the LCM of 66725 and 66731.

LCM(66725,66731) = 52 × 171 × 1571 × 71 × 95331
LCM(66725,66731) = 4452625975