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What is the Least Common Multiple of 94990 and 95009?

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 94990 and 95009 is 9024904910.

LCM(94990,95009) = 9024904910

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Least Common Multiple of 94990 and 95009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94990 and 95009, than apply into the LCM equation.

GCF(94990,95009) = 1
LCM(94990,95009) = ( 94990 × 95009) / 1
LCM(94990,95009) = 9024904910 / 1
LCM(94990,95009) = 9024904910

Least Common Multiple (LCM) of 94990 and 95009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94990 and 95009. First we will calculate the prime factors of 94990 and 95009.

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

Prime Factorization of 95009

Prime factors of 95009 are 95009. Prime factorization of 95009 in exponential form is:

95009 = 950091

Now multiplying the highest exponent prime factors to calculate the LCM of 94990 and 95009.

LCM(94990,95009) = 21 × 51 × 71 × 231 × 591 × 950091
LCM(94990,95009) = 9024904910