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What is the Least Common Multiple of 94451 and 94460?

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 94451 and 94460 is 8921841460.

LCM(94451,94460) = 8921841460

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Least Common Multiple of 94451 and 94460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94451 and 94460, than apply into the LCM equation.

GCF(94451,94460) = 1
LCM(94451,94460) = ( 94451 × 94460) / 1
LCM(94451,94460) = 8921841460 / 1
LCM(94451,94460) = 8921841460

Least Common Multiple (LCM) of 94451 and 94460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94451 and 94460. First we will calculate the prime factors of 94451 and 94460.

Prime Factorization of 94451

Prime factors of 94451 are 7, 103, 131. Prime factorization of 94451 in exponential form is:

94451 = 71 × 1031 × 1311

Prime Factorization of 94460

Prime factors of 94460 are 2, 5, 4723. Prime factorization of 94460 in exponential form is:

94460 = 22 × 51 × 47231

Now multiplying the highest exponent prime factors to calculate the LCM of 94451 and 94460.

LCM(94451,94460) = 71 × 1031 × 1311 × 22 × 51 × 47231
LCM(94451,94460) = 8921841460