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What is the Least Common Multiple of 91931 and 91939?

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 91931 and 91939 is 8452044209.

LCM(91931,91939) = 8452044209

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Least Common Multiple of 91931 and 91939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91931 and 91939, than apply into the LCM equation.

GCF(91931,91939) = 1
LCM(91931,91939) = ( 91931 × 91939) / 1
LCM(91931,91939) = 8452044209 / 1
LCM(91931,91939) = 8452044209

Least Common Multiple (LCM) of 91931 and 91939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91931 and 91939. First we will calculate the prime factors of 91931 and 91939.

Prime Factorization of 91931

Prime factors of 91931 are 7, 23, 571. Prime factorization of 91931 in exponential form is:

91931 = 71 × 231 × 5711

Prime Factorization of 91939

Prime factors of 91939 are 91939. Prime factorization of 91939 in exponential form is:

91939 = 919391

Now multiplying the highest exponent prime factors to calculate the LCM of 91931 and 91939.

LCM(91931,91939) = 71 × 231 × 5711 × 919391
LCM(91931,91939) = 8452044209