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What is the Least Common Multiple of 92808 and 92814?

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 92808 and 92814 is 1435646952.

LCM(92808,92814) = 1435646952

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Least Common Multiple of 92808 and 92814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92808 and 92814, than apply into the LCM equation.

GCF(92808,92814) = 6
LCM(92808,92814) = ( 92808 × 92814) / 6
LCM(92808,92814) = 8613881712 / 6
LCM(92808,92814) = 1435646952

Least Common Multiple (LCM) of 92808 and 92814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92808 and 92814. First we will calculate the prime factors of 92808 and 92814.

Prime Factorization of 92808

Prime factors of 92808 are 2, 3, 1289. Prime factorization of 92808 in exponential form is:

92808 = 23 × 32 × 12891

Prime Factorization of 92814

Prime factors of 92814 are 2, 3, 31, 499. Prime factorization of 92814 in exponential form is:

92814 = 21 × 31 × 311 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 92808 and 92814.

LCM(92808,92814) = 23 × 32 × 12891 × 311 × 4991
LCM(92808,92814) = 1435646952