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What is the Least Common Multiple of 94981 and 94990?

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 94981 and 94990 is 9022245190.

LCM(94981,94990) = 9022245190

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Least Common Multiple of 94981 and 94990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94981 and 94990, than apply into the LCM equation.

GCF(94981,94990) = 1
LCM(94981,94990) = ( 94981 × 94990) / 1
LCM(94981,94990) = 9022245190 / 1
LCM(94981,94990) = 9022245190

Least Common Multiple (LCM) of 94981 and 94990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94981 and 94990. First we will calculate the prime factors of 94981 and 94990.

Prime Factorization of 94981

Prime factors of 94981 are 19, 4999. Prime factorization of 94981 in exponential form is:

94981 = 191 × 49991

Prime Factorization of 94990

Prime factors of 94990 are 2, 5, 7, 23, 59. Prime factorization of 94990 in exponential form is:

94990 = 21 × 51 × 71 × 231 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 94981 and 94990.

LCM(94981,94990) = 191 × 49991 × 21 × 51 × 71 × 231 × 591
LCM(94981,94990) = 9022245190