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What is the Least Common Multiple of 94822 and 94830?

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 94822 and 94830 is 4495985130.

LCM(94822,94830) = 4495985130

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Least Common Multiple of 94822 and 94830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94822 and 94830, than apply into the LCM equation.

GCF(94822,94830) = 2
LCM(94822,94830) = ( 94822 × 94830) / 2
LCM(94822,94830) = 8991970260 / 2
LCM(94822,94830) = 4495985130

Least Common Multiple (LCM) of 94822 and 94830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94822 and 94830. First we will calculate the prime factors of 94822 and 94830.

Prime Factorization of 94822

Prime factors of 94822 are 2, 7, 13, 521. Prime factorization of 94822 in exponential form is:

94822 = 21 × 71 × 131 × 5211

Prime Factorization of 94830

Prime factors of 94830 are 2, 3, 5, 29, 109. Prime factorization of 94830 in exponential form is:

94830 = 21 × 31 × 51 × 291 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 94822 and 94830.

LCM(94822,94830) = 21 × 71 × 131 × 5211 × 31 × 51 × 291 × 1091
LCM(94822,94830) = 4495985130