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What is the Least Common Multiple of 93460 and 93471?

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 93460 and 93471 is 8735799660.

LCM(93460,93471) = 8735799660

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Least Common Multiple of 93460 and 93471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93460 and 93471, than apply into the LCM equation.

GCF(93460,93471) = 1
LCM(93460,93471) = ( 93460 × 93471) / 1
LCM(93460,93471) = 8735799660 / 1
LCM(93460,93471) = 8735799660

Least Common Multiple (LCM) of 93460 and 93471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93460 and 93471. First we will calculate the prime factors of 93460 and 93471.

Prime Factorization of 93460

Prime factors of 93460 are 2, 5, 4673. Prime factorization of 93460 in exponential form is:

93460 = 22 × 51 × 46731

Prime Factorization of 93471

Prime factors of 93471 are 3, 7, 4451. Prime factorization of 93471 in exponential form is:

93471 = 31 × 71 × 44511

Now multiplying the highest exponent prime factors to calculate the LCM of 93460 and 93471.

LCM(93460,93471) = 22 × 51 × 46731 × 31 × 71 × 44511
LCM(93460,93471) = 8735799660