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What is the Least Common Multiple of 97598 and 97607?

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 97598 and 97607 is 9526247986.

LCM(97598,97607) = 9526247986

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Least Common Multiple of 97598 and 97607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97598 and 97607, than apply into the LCM equation.

GCF(97598,97607) = 1
LCM(97598,97607) = ( 97598 × 97607) / 1
LCM(97598,97607) = 9526247986 / 1
LCM(97598,97607) = 9526247986

Least Common Multiple (LCM) of 97598 and 97607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97598 and 97607. First we will calculate the prime factors of 97598 and 97607.

Prime Factorization of 97598

Prime factors of 97598 are 2, 48799. Prime factorization of 97598 in exponential form is:

97598 = 21 × 487991

Prime Factorization of 97607

Prime factors of 97607 are 97607. Prime factorization of 97607 in exponential form is:

97607 = 976071

Now multiplying the highest exponent prime factors to calculate the LCM of 97598 and 97607.

LCM(97598,97607) = 21 × 487991 × 976071
LCM(97598,97607) = 9526247986