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What is the Least Common Multiple of 95607 and 95626?

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 95607 and 95626 is 9142514982.

LCM(95607,95626) = 9142514982

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Least Common Multiple of 95607 and 95626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95607 and 95626, than apply into the LCM equation.

GCF(95607,95626) = 1
LCM(95607,95626) = ( 95607 × 95626) / 1
LCM(95607,95626) = 9142514982 / 1
LCM(95607,95626) = 9142514982

Least Common Multiple (LCM) of 95607 and 95626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95607 and 95626. First we will calculate the prime factors of 95607 and 95626.

Prime Factorization of 95607

Prime factors of 95607 are 3, 3541. Prime factorization of 95607 in exponential form is:

95607 = 33 × 35411

Prime Factorization of 95626

Prime factors of 95626 are 2, 137, 349. Prime factorization of 95626 in exponential form is:

95626 = 21 × 1371 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 95607 and 95626.

LCM(95607,95626) = 33 × 35411 × 21 × 1371 × 3491
LCM(95607,95626) = 9142514982