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What is the Least Common Multiple of 97539 and 97555?

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 97539 and 97555 is 9515417145.

LCM(97539,97555) = 9515417145

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Least Common Multiple of 97539 and 97555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97539 and 97555, than apply into the LCM equation.

GCF(97539,97555) = 1
LCM(97539,97555) = ( 97539 × 97555) / 1
LCM(97539,97555) = 9515417145 / 1
LCM(97539,97555) = 9515417145

Least Common Multiple (LCM) of 97539 and 97555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97539 and 97555. First we will calculate the prime factors of 97539 and 97555.

Prime Factorization of 97539

Prime factors of 97539 are 3, 13, 41, 61. Prime factorization of 97539 in exponential form is:

97539 = 31 × 131 × 411 × 611

Prime Factorization of 97555

Prime factors of 97555 are 5, 109, 179. Prime factorization of 97555 in exponential form is:

97555 = 51 × 1091 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 97539 and 97555.

LCM(97539,97555) = 31 × 131 × 411 × 611 × 51 × 1091 × 1791
LCM(97539,97555) = 9515417145