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What is the Least Common Multiple of 94126 and 94146?

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 94126 and 94146 is 4430793198.

LCM(94126,94146) = 4430793198

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Least Common Multiple of 94126 and 94146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94126 and 94146, than apply into the LCM equation.

GCF(94126,94146) = 2
LCM(94126,94146) = ( 94126 × 94146) / 2
LCM(94126,94146) = 8861586396 / 2
LCM(94126,94146) = 4430793198

Least Common Multiple (LCM) of 94126 and 94146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94126 and 94146. First we will calculate the prime factors of 94126 and 94146.

Prime Factorization of 94126

Prime factors of 94126 are 2, 19, 2477. Prime factorization of 94126 in exponential form is:

94126 = 21 × 191 × 24771

Prime Factorization of 94146

Prime factors of 94146 are 2, 3, 13, 17, 71. Prime factorization of 94146 in exponential form is:

94146 = 21 × 31 × 131 × 171 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 94126 and 94146.

LCM(94126,94146) = 21 × 191 × 24771 × 31 × 131 × 171 × 711
LCM(94126,94146) = 4430793198