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What is the Least Common Multiple of 97525 and 97529?

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 97525 and 97529 is 9511515725.

LCM(97525,97529) = 9511515725

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Least Common Multiple of 97525 and 97529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97525 and 97529, than apply into the LCM equation.

GCF(97525,97529) = 1
LCM(97525,97529) = ( 97525 × 97529) / 1
LCM(97525,97529) = 9511515725 / 1
LCM(97525,97529) = 9511515725

Least Common Multiple (LCM) of 97525 and 97529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97525 and 97529. First we will calculate the prime factors of 97525 and 97529.

Prime Factorization of 97525

Prime factors of 97525 are 5, 47, 83. Prime factorization of 97525 in exponential form is:

97525 = 52 × 471 × 831

Prime Factorization of 97529

Prime factors of 97529 are 17, 5737. Prime factorization of 97529 in exponential form is:

97529 = 171 × 57371

Now multiplying the highest exponent prime factors to calculate the LCM of 97525 and 97529.

LCM(97525,97529) = 52 × 471 × 831 × 171 × 57371
LCM(97525,97529) = 9511515725