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What is the Least Common Multiple of 94622 and 94626?

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 94622 and 94626 is 4476850686.

LCM(94622,94626) = 4476850686

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Least Common Multiple of 94622 and 94626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94622 and 94626, than apply into the LCM equation.

GCF(94622,94626) = 2
LCM(94622,94626) = ( 94622 × 94626) / 2
LCM(94622,94626) = 8953701372 / 2
LCM(94622,94626) = 4476850686

Least Common Multiple (LCM) of 94622 and 94626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94622 and 94626. First we will calculate the prime factors of 94622 and 94626.

Prime Factorization of 94622

Prime factors of 94622 are 2, 11, 17, 23. Prime factorization of 94622 in exponential form is:

94622 = 21 × 112 × 171 × 231

Prime Factorization of 94626

Prime factors of 94626 are 2, 3, 7, 751. Prime factorization of 94626 in exponential form is:

94626 = 21 × 32 × 71 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 94622 and 94626.

LCM(94622,94626) = 21 × 112 × 171 × 231 × 32 × 71 × 7511
LCM(94622,94626) = 4476850686