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What is the Least Common Multiple of 94643 and 94660?

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 94643 and 94660 is 8958906380.

LCM(94643,94660) = 8958906380

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Least Common Multiple of 94643 and 94660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94643 and 94660, than apply into the LCM equation.

GCF(94643,94660) = 1
LCM(94643,94660) = ( 94643 × 94660) / 1
LCM(94643,94660) = 8958906380 / 1
LCM(94643,94660) = 8958906380

Least Common Multiple (LCM) of 94643 and 94660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94643 and 94660. First we will calculate the prime factors of 94643 and 94660.

Prime Factorization of 94643

Prime factors of 94643 are 31, 43, 71. Prime factorization of 94643 in exponential form is:

94643 = 311 × 431 × 711

Prime Factorization of 94660

Prime factors of 94660 are 2, 5, 4733. Prime factorization of 94660 in exponential form is:

94660 = 22 × 51 × 47331

Now multiplying the highest exponent prime factors to calculate the LCM of 94643 and 94660.

LCM(94643,94660) = 311 × 431 × 711 × 22 × 51 × 47331
LCM(94643,94660) = 8958906380