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What is the Least Common Multiple of 94666 and 94681?

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 94666 and 94681 is 8963071546.

LCM(94666,94681) = 8963071546

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Least Common Multiple of 94666 and 94681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94666 and 94681, than apply into the LCM equation.

GCF(94666,94681) = 1
LCM(94666,94681) = ( 94666 × 94681) / 1
LCM(94666,94681) = 8963071546 / 1
LCM(94666,94681) = 8963071546

Least Common Multiple (LCM) of 94666 and 94681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94666 and 94681. First we will calculate the prime factors of 94666 and 94681.

Prime Factorization of 94666

Prime factors of 94666 are 2, 11, 13, 331. Prime factorization of 94666 in exponential form is:

94666 = 21 × 111 × 131 × 3311

Prime Factorization of 94681

Prime factors of 94681 are 73, 1297. Prime factorization of 94681 in exponential form is:

94681 = 731 × 12971

Now multiplying the highest exponent prime factors to calculate the LCM of 94666 and 94681.

LCM(94666,94681) = 21 × 111 × 131 × 3311 × 731 × 12971
LCM(94666,94681) = 8963071546