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What is the Least Common Multiple of 66517 and 66525?

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 66517 and 66525 is 4425043425.

LCM(66517,66525) = 4425043425

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Least Common Multiple of 66517 and 66525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66517 and 66525, than apply into the LCM equation.

GCF(66517,66525) = 1
LCM(66517,66525) = ( 66517 × 66525) / 1
LCM(66517,66525) = 4425043425 / 1
LCM(66517,66525) = 4425043425

Least Common Multiple (LCM) of 66517 and 66525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66517 and 66525. First we will calculate the prime factors of 66517 and 66525.

Prime Factorization of 66517

Prime factors of 66517 are 11, 6047. Prime factorization of 66517 in exponential form is:

66517 = 111 × 60471

Prime Factorization of 66525

Prime factors of 66525 are 3, 5, 887. Prime factorization of 66525 in exponential form is:

66525 = 31 × 52 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 66517 and 66525.

LCM(66517,66525) = 111 × 60471 × 31 × 52 × 8871
LCM(66517,66525) = 4425043425