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What is the Least Common Multiple of 92952 and 92966?

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 92952 and 92966 is 4320687816.

LCM(92952,92966) = 4320687816

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Least Common Multiple of 92952 and 92966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92952 and 92966, than apply into the LCM equation.

GCF(92952,92966) = 2
LCM(92952,92966) = ( 92952 × 92966) / 2
LCM(92952,92966) = 8641375632 / 2
LCM(92952,92966) = 4320687816

Least Common Multiple (LCM) of 92952 and 92966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92952 and 92966. First we will calculate the prime factors of 92952 and 92966.

Prime Factorization of 92952

Prime factors of 92952 are 2, 3, 1291. Prime factorization of 92952 in exponential form is:

92952 = 23 × 32 × 12911

Prime Factorization of 92966

Prime factors of 92966 are 2, 23, 43, 47. Prime factorization of 92966 in exponential form is:

92966 = 21 × 231 × 431 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 92952 and 92966.

LCM(92952,92966) = 23 × 32 × 12911 × 231 × 431 × 471
LCM(92952,92966) = 4320687816