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What is the Least Common Multiple of 94688 and 94695?

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 94688 and 94695 is 8966480160.

LCM(94688,94695) = 8966480160

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Least Common Multiple of 94688 and 94695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94688 and 94695, than apply into the LCM equation.

GCF(94688,94695) = 1
LCM(94688,94695) = ( 94688 × 94695) / 1
LCM(94688,94695) = 8966480160 / 1
LCM(94688,94695) = 8966480160

Least Common Multiple (LCM) of 94688 and 94695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94688 and 94695. First we will calculate the prime factors of 94688 and 94695.

Prime Factorization of 94688

Prime factors of 94688 are 2, 11, 269. Prime factorization of 94688 in exponential form is:

94688 = 25 × 111 × 2691

Prime Factorization of 94695

Prime factors of 94695 are 3, 5, 59, 107. Prime factorization of 94695 in exponential form is:

94695 = 31 × 51 × 591 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 94688 and 94695.

LCM(94688,94695) = 25 × 111 × 2691 × 31 × 51 × 591 × 1071
LCM(94688,94695) = 8966480160