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What is the Least Common Multiple of 92886 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 92886 and 92904 is 1438246824.

LCM(92886,92904) = 1438246824

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Least Common Multiple of 92886 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 92886 and 92904, than apply into the LCM equation.

GCF(92886,92904) = 6
LCM(92886,92904) = ( 92886 × 92904) / 6
LCM(92886,92904) = 8629480944 / 6
LCM(92886,92904) = 1438246824

Least Common Multiple (LCM) of 92886 and 92904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92886 and 92904. First we will calculate the prime factors of 92886 and 92904.

Prime Factorization of 92886

Prime factors of 92886 are 2, 3, 113, 137. Prime factorization of 92886 in exponential form is:

92886 = 21 × 31 × 1131 × 1371

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 92886 and 92904.

LCM(92886,92904) = 23 × 31 × 1131 × 1371 × 72 × 791
LCM(92886,92904) = 1438246824