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What is the Least Common Multiple of 95463 and 95473?

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 95463 and 95473 is 9114138999.

LCM(95463,95473) = 9114138999

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Least Common Multiple of 95463 and 95473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95463 and 95473, than apply into the LCM equation.

GCF(95463,95473) = 1
LCM(95463,95473) = ( 95463 × 95473) / 1
LCM(95463,95473) = 9114138999 / 1
LCM(95463,95473) = 9114138999

Least Common Multiple (LCM) of 95463 and 95473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95463 and 95473. First we will calculate the prime factors of 95463 and 95473.

Prime Factorization of 95463

Prime factors of 95463 are 3, 10607. Prime factorization of 95463 in exponential form is:

95463 = 32 × 106071

Prime Factorization of 95473

Prime factors of 95473 are 7, 23, 593. Prime factorization of 95473 in exponential form is:

95473 = 71 × 231 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 95463 and 95473.

LCM(95463,95473) = 32 × 106071 × 71 × 231 × 5931
LCM(95463,95473) = 9114138999