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What is the Least Common Multiple of 29656 and 29676?

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 29676 is 220017864.

LCM(29656,29676) = 220017864

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Least Common Multiple of 29656 and 29676 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 29676, than apply into the LCM equation.

GCF(29656,29676) = 4
LCM(29656,29676) = ( 29656 × 29676) / 4
LCM(29656,29676) = 880071456 / 4
LCM(29656,29676) = 220017864

Least Common Multiple (LCM) of 29656 and 29676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29656 and 29676. First we will calculate the prime factors of 29656 and 29676.

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 29676

Prime factors of 29676 are 2, 3, 2473. Prime factorization of 29676 in exponential form is:

29676 = 22 × 31 × 24731

Now multiplying the highest exponent prime factors to calculate the LCM of 29656 and 29676.

LCM(29656,29676) = 23 × 111 × 3371 × 31 × 24731
LCM(29656,29676) = 220017864