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What is the Least Common Multiple of 94956 and 94966?

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 94956 and 94966 is 4508795748.

LCM(94956,94966) = 4508795748

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Least Common Multiple of 94956 and 94966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94956 and 94966, than apply into the LCM equation.

GCF(94956,94966) = 2
LCM(94956,94966) = ( 94956 × 94966) / 2
LCM(94956,94966) = 9017591496 / 2
LCM(94956,94966) = 4508795748

Least Common Multiple (LCM) of 94956 and 94966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94956 and 94966. First we will calculate the prime factors of 94956 and 94966.

Prime Factorization of 94956

Prime factors of 94956 are 2, 3, 41, 193. Prime factorization of 94956 in exponential form is:

94956 = 22 × 31 × 411 × 1931

Prime Factorization of 94966

Prime factors of 94966 are 2, 103, 461. Prime factorization of 94966 in exponential form is:

94966 = 21 × 1031 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 94956 and 94966.

LCM(94956,94966) = 22 × 31 × 411 × 1931 × 1031 × 4611
LCM(94956,94966) = 4508795748