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What is the Least Common Multiple of 29658 and 29667?

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 29658 and 29667 is 293287962.

LCM(29658,29667) = 293287962

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Least Common Multiple of 29658 and 29667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29658 and 29667, than apply into the LCM equation.

GCF(29658,29667) = 3
LCM(29658,29667) = ( 29658 × 29667) / 3
LCM(29658,29667) = 879863886 / 3
LCM(29658,29667) = 293287962

Least Common Multiple (LCM) of 29658 and 29667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29658 and 29667. First we will calculate the prime factors of 29658 and 29667.

Prime Factorization of 29658

Prime factors of 29658 are 2, 3, 4943. Prime factorization of 29658 in exponential form is:

29658 = 21 × 31 × 49431

Prime Factorization of 29667

Prime factors of 29667 are 3, 11, 29, 31. Prime factorization of 29667 in exponential form is:

29667 = 31 × 111 × 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 29658 and 29667.

LCM(29658,29667) = 21 × 31 × 49431 × 111 × 291 × 311
LCM(29658,29667) = 293287962