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What is the Least Common Multiple of 67509 and 67527?

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 67509 and 67527 is 506520027.

LCM(67509,67527) = 506520027

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Least Common Multiple of 67509 and 67527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67509 and 67527, than apply into the LCM equation.

GCF(67509,67527) = 9
LCM(67509,67527) = ( 67509 × 67527) / 9
LCM(67509,67527) = 4558680243 / 9
LCM(67509,67527) = 506520027

Least Common Multiple (LCM) of 67509 and 67527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67509 and 67527. First we will calculate the prime factors of 67509 and 67527.

Prime Factorization of 67509

Prime factors of 67509 are 3, 13, 577. Prime factorization of 67509 in exponential form is:

67509 = 32 × 131 × 5771

Prime Factorization of 67527

Prime factors of 67527 are 3, 41, 61. Prime factorization of 67527 in exponential form is:

67527 = 33 × 411 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 67509 and 67527.

LCM(67509,67527) = 33 × 131 × 5771 × 411 × 611
LCM(67509,67527) = 506520027