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What is the Least Common Multiple of 94246 and 94258?

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 94246 and 94258 is 4441719734.

LCM(94246,94258) = 4441719734

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Least Common Multiple of 94246 and 94258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94246 and 94258, than apply into the LCM equation.

GCF(94246,94258) = 2
LCM(94246,94258) = ( 94246 × 94258) / 2
LCM(94246,94258) = 8883439468 / 2
LCM(94246,94258) = 4441719734

Least Common Multiple (LCM) of 94246 and 94258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94246 and 94258. First we will calculate the prime factors of 94246 and 94258.

Prime Factorization of 94246

Prime factors of 94246 are 2, 47123. Prime factorization of 94246 in exponential form is:

94246 = 21 × 471231

Prime Factorization of 94258

Prime factors of 94258 are 2, 47129. Prime factorization of 94258 in exponential form is:

94258 = 21 × 471291

Now multiplying the highest exponent prime factors to calculate the LCM of 94246 and 94258.

LCM(94246,94258) = 21 × 471231 × 471291
LCM(94246,94258) = 4441719734