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What is the Least Common Multiple of 92923 and 92939?

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 92923 and 92939 is 8636170697.

LCM(92923,92939) = 8636170697

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Least Common Multiple of 92923 and 92939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92923 and 92939, than apply into the LCM equation.

GCF(92923,92939) = 1
LCM(92923,92939) = ( 92923 × 92939) / 1
LCM(92923,92939) = 8636170697 / 1
LCM(92923,92939) = 8636170697

Least Common Multiple (LCM) of 92923 and 92939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92923 and 92939. First we will calculate the prime factors of 92923 and 92939.

Prime Factorization of 92923

Prime factors of 92923 are 43, 2161. Prime factorization of 92923 in exponential form is:

92923 = 431 × 21611

Prime Factorization of 92939

Prime factors of 92939 are 7, 11, 17, 71. Prime factorization of 92939 in exponential form is:

92939 = 71 × 111 × 171 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 92923 and 92939.

LCM(92923,92939) = 431 × 21611 × 71 × 111 × 171 × 711
LCM(92923,92939) = 8636170697