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What is the Least Common Multiple of 92796 and 92804?

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 92796 and 92804 is 2152959996.

LCM(92796,92804) = 2152959996

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Least Common Multiple of 92796 and 92804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92796 and 92804, than apply into the LCM equation.

GCF(92796,92804) = 4
LCM(92796,92804) = ( 92796 × 92804) / 4
LCM(92796,92804) = 8611839984 / 4
LCM(92796,92804) = 2152959996

Least Common Multiple (LCM) of 92796 and 92804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92796 and 92804. First we will calculate the prime factors of 92796 and 92804.

Prime Factorization of 92796

Prime factors of 92796 are 2, 3, 11, 19, 37. Prime factorization of 92796 in exponential form is:

92796 = 22 × 31 × 111 × 191 × 371

Prime Factorization of 92804

Prime factors of 92804 are 2, 23201. Prime factorization of 92804 in exponential form is:

92804 = 22 × 232011

Now multiplying the highest exponent prime factors to calculate the LCM of 92796 and 92804.

LCM(92796,92804) = 22 × 31 × 111 × 191 × 371 × 232011
LCM(92796,92804) = 2152959996