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What is the Least Common Multiple of 27517 and 27537?

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 27517 and 27537 is 757735629.

LCM(27517,27537) = 757735629

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Least Common Multiple of 27517 and 27537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27517 and 27537, than apply into the LCM equation.

GCF(27517,27537) = 1
LCM(27517,27537) = ( 27517 × 27537) / 1
LCM(27517,27537) = 757735629 / 1
LCM(27517,27537) = 757735629

Least Common Multiple (LCM) of 27517 and 27537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27517 and 27537. First we will calculate the prime factors of 27517 and 27537.

Prime Factorization of 27517

Prime factors of 27517 are 7, 3931. Prime factorization of 27517 in exponential form is:

27517 = 71 × 39311

Prime Factorization of 27537

Prime factors of 27537 are 3, 67, 137. Prime factorization of 27537 in exponential form is:

27537 = 31 × 671 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 27517 and 27537.

LCM(27517,27537) = 71 × 39311 × 31 × 671 × 1371
LCM(27517,27537) = 757735629