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What is the Least Common Multiple of 94598 and 94611?

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 94598 and 94611 is 8950011378.

LCM(94598,94611) = 8950011378

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Least Common Multiple of 94598 and 94611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94598 and 94611, than apply into the LCM equation.

GCF(94598,94611) = 1
LCM(94598,94611) = ( 94598 × 94611) / 1
LCM(94598,94611) = 8950011378 / 1
LCM(94598,94611) = 8950011378

Least Common Multiple (LCM) of 94598 and 94611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94598 and 94611. First we will calculate the prime factors of 94598 and 94611.

Prime Factorization of 94598

Prime factors of 94598 are 2, 7, 29, 233. Prime factorization of 94598 in exponential form is:

94598 = 21 × 71 × 291 × 2331

Prime Factorization of 94611

Prime factors of 94611 are 3, 11, 47, 61. Prime factorization of 94611 in exponential form is:

94611 = 31 × 111 × 471 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 94598 and 94611.

LCM(94598,94611) = 21 × 71 × 291 × 2331 × 31 × 111 × 471 × 611
LCM(94598,94611) = 8950011378