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What is the Least Common Multiple of 94652 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 94652 and 94666 is 4480163116.

LCM(94652,94666) = 4480163116

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Least Common Multiple of 94652 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 94652 and 94666, than apply into the LCM equation.

GCF(94652,94666) = 2
LCM(94652,94666) = ( 94652 × 94666) / 2
LCM(94652,94666) = 8960326232 / 2
LCM(94652,94666) = 4480163116

Least Common Multiple (LCM) of 94652 and 94666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94652 and 94666. First we will calculate the prime factors of 94652 and 94666.

Prime Factorization of 94652

Prime factors of 94652 are 2, 23663. Prime factorization of 94652 in exponential form is:

94652 = 22 × 236631

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 94652 and 94666.

LCM(94652,94666) = 22 × 236631 × 111 × 131 × 3311
LCM(94652,94666) = 4480163116