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What is the Least Common Multiple of 29676 and 29687?

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 29676 and 29687 is 880991412.

LCM(29676,29687) = 880991412

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Least Common Multiple of 29676 and 29687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29676 and 29687, than apply into the LCM equation.

GCF(29676,29687) = 1
LCM(29676,29687) = ( 29676 × 29687) / 1
LCM(29676,29687) = 880991412 / 1
LCM(29676,29687) = 880991412

Least Common Multiple (LCM) of 29676 and 29687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29676 and 29687. First we will calculate the prime factors of 29676 and 29687.

Prime Factorization of 29676

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

29676 = 22 × 31 × 24731

Prime Factorization of 29687

Prime factors of 29687 are 7, 4241. Prime factorization of 29687 in exponential form is:

29687 = 71 × 42411

Now multiplying the highest exponent prime factors to calculate the LCM of 29676 and 29687.

LCM(29676,29687) = 22 × 31 × 24731 × 71 × 42411
LCM(29676,29687) = 880991412