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What is the Least Common Multiple of 94449 and 94458?

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 94449 and 94458 is 2973821214.

LCM(94449,94458) = 2973821214

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Least Common Multiple of 94449 and 94458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94449 and 94458, than apply into the LCM equation.

GCF(94449,94458) = 3
LCM(94449,94458) = ( 94449 × 94458) / 3
LCM(94449,94458) = 8921463642 / 3
LCM(94449,94458) = 2973821214

Least Common Multiple (LCM) of 94449 and 94458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94449 and 94458. First we will calculate the prime factors of 94449 and 94458.

Prime Factorization of 94449

Prime factors of 94449 are 3, 19, 1657. Prime factorization of 94449 in exponential form is:

94449 = 31 × 191 × 16571

Prime Factorization of 94458

Prime factors of 94458 are 2, 3, 7, 13, 173. Prime factorization of 94458 in exponential form is:

94458 = 21 × 31 × 71 × 131 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 94449 and 94458.

LCM(94449,94458) = 31 × 191 × 16571 × 21 × 71 × 131 × 1731
LCM(94449,94458) = 2973821214