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What is the Least Common Multiple of 92894 and 92904?

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 92894 and 92904 is 4315112088.

LCM(92894,92904) = 4315112088

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Least Common Multiple of 92894 and 92904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92894 and 92904, than apply into the LCM equation.

GCF(92894,92904) = 2
LCM(92894,92904) = ( 92894 × 92904) / 2
LCM(92894,92904) = 8630224176 / 2
LCM(92894,92904) = 4315112088

Least Common Multiple (LCM) of 92894 and 92904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92894 and 92904. First we will calculate the prime factors of 92894 and 92904.

Prime Factorization of 92894

Prime factors of 92894 are 2, 46447. Prime factorization of 92894 in exponential form is:

92894 = 21 × 464471

Prime Factorization of 92904

Prime factors of 92904 are 2, 3, 7, 79. Prime factorization of 92904 in exponential form is:

92904 = 23 × 31 × 72 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 92894 and 92904.

LCM(92894,92904) = 23 × 464471 × 31 × 72 × 791
LCM(92894,92904) = 4315112088