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What is the Least Common Multiple of 94666 and 94680?

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 94666 and 94680 is 4481488440.

LCM(94666,94680) = 4481488440

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Least Common Multiple of 94666 and 94680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94666 and 94680, than apply into the LCM equation.

GCF(94666,94680) = 2
LCM(94666,94680) = ( 94666 × 94680) / 2
LCM(94666,94680) = 8962976880 / 2
LCM(94666,94680) = 4481488440

Least Common Multiple (LCM) of 94666 and 94680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94666 and 94680. First we will calculate the prime factors of 94666 and 94680.

Prime Factorization of 94666

Prime factors of 94666 are 2, 11, 13, 331. Prime factorization of 94666 in exponential form is:

94666 = 21 × 111 × 131 × 3311

Prime Factorization of 94680

Prime factors of 94680 are 2, 3, 5, 263. Prime factorization of 94680 in exponential form is:

94680 = 23 × 32 × 51 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 94666 and 94680.

LCM(94666,94680) = 23 × 111 × 131 × 3311 × 32 × 51 × 2631
LCM(94666,94680) = 4481488440