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What is the Least Common Multiple of 92394 and 92410?

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 92394 and 92410 is 4269064770.

LCM(92394,92410) = 4269064770

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Least Common Multiple of 92394 and 92410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92394 and 92410, than apply into the LCM equation.

GCF(92394,92410) = 2
LCM(92394,92410) = ( 92394 × 92410) / 2
LCM(92394,92410) = 8538129540 / 2
LCM(92394,92410) = 4269064770

Least Common Multiple (LCM) of 92394 and 92410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92394 and 92410. First we will calculate the prime factors of 92394 and 92410.

Prime Factorization of 92394

Prime factors of 92394 are 2, 3, 29, 59. Prime factorization of 92394 in exponential form is:

92394 = 21 × 33 × 291 × 591

Prime Factorization of 92410

Prime factors of 92410 are 2, 5, 9241. Prime factorization of 92410 in exponential form is:

92410 = 21 × 51 × 92411

Now multiplying the highest exponent prime factors to calculate the LCM of 92394 and 92410.

LCM(92394,92410) = 21 × 33 × 291 × 591 × 51 × 92411
LCM(92394,92410) = 4269064770