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What is the Least Common Multiple of 93457 and 93476?

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 93457 and 93476 is 8735986532.

LCM(93457,93476) = 8735986532

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Least Common Multiple of 93457 and 93476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93457 and 93476, than apply into the LCM equation.

GCF(93457,93476) = 1
LCM(93457,93476) = ( 93457 × 93476) / 1
LCM(93457,93476) = 8735986532 / 1
LCM(93457,93476) = 8735986532

Least Common Multiple (LCM) of 93457 and 93476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93457 and 93476. First we will calculate the prime factors of 93457 and 93476.

Prime Factorization of 93457

Prime factors of 93457 are 7, 13, 79. Prime factorization of 93457 in exponential form is:

93457 = 71 × 132 × 791

Prime Factorization of 93476

Prime factors of 93476 are 2, 23369. Prime factorization of 93476 in exponential form is:

93476 = 22 × 233691

Now multiplying the highest exponent prime factors to calculate the LCM of 93457 and 93476.

LCM(93457,93476) = 71 × 132 × 791 × 22 × 233691
LCM(93457,93476) = 8735986532