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What is the Least Common Multiple of 94058 and 94077?

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 94058 and 94077 is 8848694466.

LCM(94058,94077) = 8848694466

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Least Common Multiple of 94058 and 94077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94058 and 94077, than apply into the LCM equation.

GCF(94058,94077) = 1
LCM(94058,94077) = ( 94058 × 94077) / 1
LCM(94058,94077) = 8848694466 / 1
LCM(94058,94077) = 8848694466

Least Common Multiple (LCM) of 94058 and 94077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94058 and 94077. First we will calculate the prime factors of 94058 and 94077.

Prime Factorization of 94058

Prime factors of 94058 are 2, 131, 359. Prime factorization of 94058 in exponential form is:

94058 = 21 × 1311 × 3591

Prime Factorization of 94077

Prime factors of 94077 are 3, 10453. Prime factorization of 94077 in exponential form is:

94077 = 32 × 104531

Now multiplying the highest exponent prime factors to calculate the LCM of 94058 and 94077.

LCM(94058,94077) = 21 × 1311 × 3591 × 32 × 104531
LCM(94058,94077) = 8848694466