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What is the Least Common Multiple of 94617 and 94622?

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 94617 and 94622 is 8952849774.

LCM(94617,94622) = 8952849774

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Least Common Multiple of 94617 and 94622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94617 and 94622, than apply into the LCM equation.

GCF(94617,94622) = 1
LCM(94617,94622) = ( 94617 × 94622) / 1
LCM(94617,94622) = 8952849774 / 1
LCM(94617,94622) = 8952849774

Least Common Multiple (LCM) of 94617 and 94622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94617 and 94622. First we will calculate the prime factors of 94617 and 94622.

Prime Factorization of 94617

Prime factors of 94617 are 3, 10513. Prime factorization of 94617 in exponential form is:

94617 = 32 × 105131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 94617 and 94622.

LCM(94617,94622) = 32 × 105131 × 21 × 112 × 171 × 231
LCM(94617,94622) = 8952849774