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What is the Least Common Multiple of 93992 and 94010?

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 93992 and 94010 is 4418093960.

LCM(93992,94010) = 4418093960

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Least Common Multiple of 93992 and 94010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93992 and 94010, than apply into the LCM equation.

GCF(93992,94010) = 2
LCM(93992,94010) = ( 93992 × 94010) / 2
LCM(93992,94010) = 8836187920 / 2
LCM(93992,94010) = 4418093960

Least Common Multiple (LCM) of 93992 and 94010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93992 and 94010. First we will calculate the prime factors of 93992 and 94010.

Prime Factorization of 93992

Prime factors of 93992 are 2, 31, 379. Prime factorization of 93992 in exponential form is:

93992 = 23 × 311 × 3791

Prime Factorization of 94010

Prime factors of 94010 are 2, 5, 7, 17, 79. Prime factorization of 94010 in exponential form is:

94010 = 21 × 51 × 71 × 171 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 93992 and 94010.

LCM(93992,94010) = 23 × 311 × 3791 × 51 × 71 × 171 × 791
LCM(93992,94010) = 4418093960