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What is the Least Common Multiple of 95635 and 95654?

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 95635 and 95654 is 9147870290.

LCM(95635,95654) = 9147870290

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Least Common Multiple of 95635 and 95654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95635 and 95654, than apply into the LCM equation.

GCF(95635,95654) = 1
LCM(95635,95654) = ( 95635 × 95654) / 1
LCM(95635,95654) = 9147870290 / 1
LCM(95635,95654) = 9147870290

Least Common Multiple (LCM) of 95635 and 95654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95635 and 95654. First we will calculate the prime factors of 95635 and 95654.

Prime Factorization of 95635

Prime factors of 95635 are 5, 31, 617. Prime factorization of 95635 in exponential form is:

95635 = 51 × 311 × 6171

Prime Factorization of 95654

Prime factors of 95654 are 2, 13, 283. Prime factorization of 95654 in exponential form is:

95654 = 21 × 132 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 95635 and 95654.

LCM(95635,95654) = 51 × 311 × 6171 × 21 × 132 × 2831
LCM(95635,95654) = 9147870290