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What is the Least Common Multiple of 94990 and 95001?

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 95001 is 9024144990.

LCM(94990,95001) = 9024144990

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Least Common Multiple of 94990 and 95001 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 95001, than apply into the LCM equation.

GCF(94990,95001) = 1
LCM(94990,95001) = ( 94990 × 95001) / 1
LCM(94990,95001) = 9024144990 / 1
LCM(94990,95001) = 9024144990

Least Common Multiple (LCM) of 94990 and 95001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94990 and 95001. First we will calculate the prime factors of 94990 and 95001.

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 95001

Prime factors of 95001 are 3, 31667. Prime factorization of 95001 in exponential form is:

95001 = 31 × 316671

Now multiplying the highest exponent prime factors to calculate the LCM of 94990 and 95001.

LCM(94990,95001) = 21 × 51 × 71 × 231 × 591 × 31 × 316671
LCM(94990,95001) = 9024144990