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What is the Least Common Multiple of 95693 and 95702?

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 95693 and 95702 is 9158011486.

LCM(95693,95702) = 9158011486

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Least Common Multiple of 95693 and 95702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95693 and 95702, than apply into the LCM equation.

GCF(95693,95702) = 1
LCM(95693,95702) = ( 95693 × 95702) / 1
LCM(95693,95702) = 9158011486 / 1
LCM(95693,95702) = 9158011486

Least Common Multiple (LCM) of 95693 and 95702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95693 and 95702. First we will calculate the prime factors of 95693 and 95702.

Prime Factorization of 95693

Prime factors of 95693 are 13, 17, 433. Prime factorization of 95693 in exponential form is:

95693 = 131 × 171 × 4331

Prime Factorization of 95702

Prime factors of 95702 are 2, 109, 439. Prime factorization of 95702 in exponential form is:

95702 = 21 × 1091 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 95693 and 95702.

LCM(95693,95702) = 131 × 171 × 4331 × 21 × 1091 × 4391
LCM(95693,95702) = 9158011486