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What is the Least Common Multiple of 94017 and 94024?

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 94017 and 94024 is 1262836344.

LCM(94017,94024) = 1262836344

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Least Common Multiple of 94017 and 94024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94017 and 94024, than apply into the LCM equation.

GCF(94017,94024) = 7
LCM(94017,94024) = ( 94017 × 94024) / 7
LCM(94017,94024) = 8839854408 / 7
LCM(94017,94024) = 1262836344

Least Common Multiple (LCM) of 94017 and 94024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94017 and 94024. First we will calculate the prime factors of 94017 and 94024.

Prime Factorization of 94017

Prime factors of 94017 are 3, 7, 11, 37. Prime factorization of 94017 in exponential form is:

94017 = 31 × 71 × 112 × 371

Prime Factorization of 94024

Prime factors of 94024 are 2, 7, 23, 73. Prime factorization of 94024 in exponential form is:

94024 = 23 × 71 × 231 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 94017 and 94024.

LCM(94017,94024) = 31 × 71 × 112 × 371 × 23 × 231 × 731
LCM(94017,94024) = 1262836344