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What is the Least Common Multiple of 94226 and 94244?

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 94226 and 94244 is 4440117572.

LCM(94226,94244) = 4440117572

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Least Common Multiple of 94226 and 94244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94226 and 94244, than apply into the LCM equation.

GCF(94226,94244) = 2
LCM(94226,94244) = ( 94226 × 94244) / 2
LCM(94226,94244) = 8880235144 / 2
LCM(94226,94244) = 4440117572

Least Common Multiple (LCM) of 94226 and 94244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94226 and 94244. First we will calculate the prime factors of 94226 and 94244.

Prime Factorization of 94226

Prime factors of 94226 are 2, 11, 4283. Prime factorization of 94226 in exponential form is:

94226 = 21 × 111 × 42831

Prime Factorization of 94244

Prime factors of 94244 are 2, 23561. Prime factorization of 94244 in exponential form is:

94244 = 22 × 235611

Now multiplying the highest exponent prime factors to calculate the LCM of 94226 and 94244.

LCM(94226,94244) = 22 × 111 × 42831 × 235611
LCM(94226,94244) = 4440117572