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What is the Least Common Multiple of 27515 and 27523?

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 27515 and 27523 is 757295345.

LCM(27515,27523) = 757295345

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Least Common Multiple of 27515 and 27523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27515 and 27523, than apply into the LCM equation.

GCF(27515,27523) = 1
LCM(27515,27523) = ( 27515 × 27523) / 1
LCM(27515,27523) = 757295345 / 1
LCM(27515,27523) = 757295345

Least Common Multiple (LCM) of 27515 and 27523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27515 and 27523. First we will calculate the prime factors of 27515 and 27523.

Prime Factorization of 27515

Prime factors of 27515 are 5, 5503. Prime factorization of 27515 in exponential form is:

27515 = 51 × 55031

Prime Factorization of 27523

Prime factors of 27523 are 17, 1619. Prime factorization of 27523 in exponential form is:

27523 = 171 × 16191

Now multiplying the highest exponent prime factors to calculate the LCM of 27515 and 27523.

LCM(27515,27523) = 51 × 55031 × 171 × 16191
LCM(27515,27523) = 757295345