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What is the Least Common Multiple of 97861 and 97881?

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 97861 and 97881 is 9578732541.

LCM(97861,97881) = 9578732541

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Least Common Multiple of 97861 and 97881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97861 and 97881, than apply into the LCM equation.

GCF(97861,97881) = 1
LCM(97861,97881) = ( 97861 × 97881) / 1
LCM(97861,97881) = 9578732541 / 1
LCM(97861,97881) = 9578732541

Least Common Multiple (LCM) of 97861 and 97881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97861 and 97881. First we will calculate the prime factors of 97861 and 97881.

Prime Factorization of 97861

Prime factors of 97861 are 97861. Prime factorization of 97861 in exponential form is:

97861 = 978611

Prime Factorization of 97881

Prime factors of 97881 are 3, 7, 59, 79. Prime factorization of 97881 in exponential form is:

97881 = 31 × 71 × 591 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 97861 and 97881.

LCM(97861,97881) = 978611 × 31 × 71 × 591 × 791
LCM(97861,97881) = 9578732541