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What is the Least Common Multiple of 92919 and 92935?

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 92919 and 92935 is 8635427265.

LCM(92919,92935) = 8635427265

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Least Common Multiple of 92919 and 92935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92919 and 92935, than apply into the LCM equation.

GCF(92919,92935) = 1
LCM(92919,92935) = ( 92919 × 92935) / 1
LCM(92919,92935) = 8635427265 / 1
LCM(92919,92935) = 8635427265

Least Common Multiple (LCM) of 92919 and 92935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92919 and 92935. First we will calculate the prime factors of 92919 and 92935.

Prime Factorization of 92919

Prime factors of 92919 are 3, 47, 659. Prime factorization of 92919 in exponential form is:

92919 = 31 × 471 × 6591

Prime Factorization of 92935

Prime factors of 92935 are 5, 18587. Prime factorization of 92935 in exponential form is:

92935 = 51 × 185871

Now multiplying the highest exponent prime factors to calculate the LCM of 92919 and 92935.

LCM(92919,92935) = 31 × 471 × 6591 × 51 × 185871
LCM(92919,92935) = 8635427265