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What is the Least Common Multiple of 97417 and 97426?

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 97417 and 97426 is 9490948642.

LCM(97417,97426) = 9490948642

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Least Common Multiple of 97417 and 97426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97417 and 97426, than apply into the LCM equation.

GCF(97417,97426) = 1
LCM(97417,97426) = ( 97417 × 97426) / 1
LCM(97417,97426) = 9490948642 / 1
LCM(97417,97426) = 9490948642

Least Common Multiple (LCM) of 97417 and 97426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97417 and 97426. First we will calculate the prime factors of 97417 and 97426.

Prime Factorization of 97417

Prime factors of 97417 are 61, 1597. Prime factorization of 97417 in exponential form is:

97417 = 611 × 15971

Prime Factorization of 97426

Prime factors of 97426 are 2, 7, 6959. Prime factorization of 97426 in exponential form is:

97426 = 21 × 71 × 69591

Now multiplying the highest exponent prime factors to calculate the LCM of 97417 and 97426.

LCM(97417,97426) = 611 × 15971 × 21 × 71 × 69591
LCM(97417,97426) = 9490948642