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What is the Least Common Multiple of 29656 and 29673?

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 29656 and 29673 is 879982488.

LCM(29656,29673) = 879982488

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Least Common Multiple of 29656 and 29673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29656 and 29673, than apply into the LCM equation.

GCF(29656,29673) = 1
LCM(29656,29673) = ( 29656 × 29673) / 1
LCM(29656,29673) = 879982488 / 1
LCM(29656,29673) = 879982488

Least Common Multiple (LCM) of 29656 and 29673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29656 and 29673. First we will calculate the prime factors of 29656 and 29673.

Prime Factorization of 29656

Prime factors of 29656 are 2, 11, 337. Prime factorization of 29656 in exponential form is:

29656 = 23 × 111 × 3371

Prime Factorization of 29673

Prime factors of 29673 are 3, 7, 157. Prime factorization of 29673 in exponential form is:

29673 = 33 × 71 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 29656 and 29673.

LCM(29656,29673) = 23 × 111 × 3371 × 33 × 71 × 1571
LCM(29656,29673) = 879982488