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What is the Least Common Multiple of 94654 and 94666?

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 94654 and 94666 is 4480257782.

LCM(94654,94666) = 4480257782

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Least Common Multiple of 94654 and 94666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94654 and 94666, than apply into the LCM equation.

GCF(94654,94666) = 2
LCM(94654,94666) = ( 94654 × 94666) / 2
LCM(94654,94666) = 8960515564 / 2
LCM(94654,94666) = 4480257782

Least Common Multiple (LCM) of 94654 and 94666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94654 and 94666. First we will calculate the prime factors of 94654 and 94666.

Prime Factorization of 94654

Prime factors of 94654 are 2, 7, 6761. Prime factorization of 94654 in exponential form is:

94654 = 21 × 71 × 67611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 94654 and 94666.

LCM(94654,94666) = 21 × 71 × 67611 × 111 × 131 × 3311
LCM(94654,94666) = 4480257782