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What is the Least Common Multiple of 92904 and 92916?

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 92904 and 92916 is 719355672.

LCM(92904,92916) = 719355672

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Least Common Multiple of 92904 and 92916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92904 and 92916, than apply into the LCM equation.

GCF(92904,92916) = 12
LCM(92904,92916) = ( 92904 × 92916) / 12
LCM(92904,92916) = 8632268064 / 12
LCM(92904,92916) = 719355672

Least Common Multiple (LCM) of 92904 and 92916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92904 and 92916. First we will calculate the prime factors of 92904 and 92916.

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

Prime Factorization of 92916

Prime factors of 92916 are 2, 3, 29, 89. Prime factorization of 92916 in exponential form is:

92916 = 22 × 32 × 291 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 92904 and 92916.

LCM(92904,92916) = 23 × 32 × 72 × 791 × 291 × 891
LCM(92904,92916) = 719355672