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What is the Least Common Multiple of 97930 and 97939?

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 97930 and 97939 is 9591166270.

LCM(97930,97939) = 9591166270

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Least Common Multiple of 97930 and 97939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97930 and 97939, than apply into the LCM equation.

GCF(97930,97939) = 1
LCM(97930,97939) = ( 97930 × 97939) / 1
LCM(97930,97939) = 9591166270 / 1
LCM(97930,97939) = 9591166270

Least Common Multiple (LCM) of 97930 and 97939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97930 and 97939. First we will calculate the prime factors of 97930 and 97939.

Prime Factorization of 97930

Prime factors of 97930 are 2, 5, 7, 1399. Prime factorization of 97930 in exponential form is:

97930 = 21 × 51 × 71 × 13991

Prime Factorization of 97939

Prime factors of 97939 are 37, 2647. Prime factorization of 97939 in exponential form is:

97939 = 371 × 26471

Now multiplying the highest exponent prime factors to calculate the LCM of 97930 and 97939.

LCM(97930,97939) = 21 × 51 × 71 × 13991 × 371 × 26471
LCM(97930,97939) = 9591166270