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What is the Least Common Multiple of 94058 and 94074?

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 94074 is 4424206146.

LCM(94058,94074) = 4424206146

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Least Common Multiple of 94058 and 94074 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 94074, than apply into the LCM equation.

GCF(94058,94074) = 2
LCM(94058,94074) = ( 94058 × 94074) / 2
LCM(94058,94074) = 8848412292 / 2
LCM(94058,94074) = 4424206146

Least Common Multiple (LCM) of 94058 and 94074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94058 and 94074. First we will calculate the prime factors of 94058 and 94074.

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 94074

Prime factors of 94074 are 2, 3, 15679. Prime factorization of 94074 in exponential form is:

94074 = 21 × 31 × 156791

Now multiplying the highest exponent prime factors to calculate the LCM of 94058 and 94074.

LCM(94058,94074) = 21 × 1311 × 3591 × 31 × 156791
LCM(94058,94074) = 4424206146