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What is the Least Common Multiple of 95468 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 95468 and 95473 is 9114616364.

LCM(95468,95473) = 9114616364

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Least Common Multiple of 95468 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 95468 and 95473, than apply into the LCM equation.

GCF(95468,95473) = 1
LCM(95468,95473) = ( 95468 × 95473) / 1
LCM(95468,95473) = 9114616364 / 1
LCM(95468,95473) = 9114616364

Least Common Multiple (LCM) of 95468 and 95473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95468 and 95473. First we will calculate the prime factors of 95468 and 95473.

Prime Factorization of 95468

Prime factors of 95468 are 2, 29, 823. Prime factorization of 95468 in exponential form is:

95468 = 22 × 291 × 8231

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 95468 and 95473.

LCM(95468,95473) = 22 × 291 × 8231 × 71 × 231 × 5931
LCM(95468,95473) = 9114616364