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What is the Least Common Multiple of 94814 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 94814 and 94830 is 4495605810.

LCM(94814,94830) = 4495605810

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Least Common Multiple of 94814 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 94814 and 94830, than apply into the LCM equation.

GCF(94814,94830) = 2
LCM(94814,94830) = ( 94814 × 94830) / 2
LCM(94814,94830) = 8991211620 / 2
LCM(94814,94830) = 4495605810

Least Common Multiple (LCM) of 94814 and 94830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94814 and 94830. First we will calculate the prime factors of 94814 and 94830.

Prime Factorization of 94814

Prime factors of 94814 are 2, 47407. Prime factorization of 94814 in exponential form is:

94814 = 21 × 474071

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 94814 and 94830.

LCM(94814,94830) = 21 × 474071 × 31 × 51 × 291 × 1091
LCM(94814,94830) = 4495605810