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What is the Least Common Multiple of 94000 and 94008?

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 94000 and 94008 is 1104594000.

LCM(94000,94008) = 1104594000

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Least Common Multiple of 94000 and 94008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94000 and 94008, than apply into the LCM equation.

GCF(94000,94008) = 8
LCM(94000,94008) = ( 94000 × 94008) / 8
LCM(94000,94008) = 8836752000 / 8
LCM(94000,94008) = 1104594000

Least Common Multiple (LCM) of 94000 and 94008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94000 and 94008. First we will calculate the prime factors of 94000 and 94008.

Prime Factorization of 94000

Prime factors of 94000 are 2, 5, 47. Prime factorization of 94000 in exponential form is:

94000 = 24 × 53 × 471

Prime Factorization of 94008

Prime factors of 94008 are 2, 3, 3917. Prime factorization of 94008 in exponential form is:

94008 = 23 × 31 × 39171

Now multiplying the highest exponent prime factors to calculate the LCM of 94000 and 94008.

LCM(94000,94008) = 24 × 53 × 471 × 31 × 39171
LCM(94000,94008) = 1104594000