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What is the Least Common Multiple of 29603 and 29615?

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 29603 and 29615 is 876692845.

LCM(29603,29615) = 876692845

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Least Common Multiple of 29603 and 29615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29603 and 29615, than apply into the LCM equation.

GCF(29603,29615) = 1
LCM(29603,29615) = ( 29603 × 29615) / 1
LCM(29603,29615) = 876692845 / 1
LCM(29603,29615) = 876692845

Least Common Multiple (LCM) of 29603 and 29615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29603 and 29615. First we will calculate the prime factors of 29603 and 29615.

Prime Factorization of 29603

Prime factors of 29603 are 7, 4229. Prime factorization of 29603 in exponential form is:

29603 = 71 × 42291

Prime Factorization of 29615

Prime factors of 29615 are 5, 5923. Prime factorization of 29615 in exponential form is:

29615 = 51 × 59231

Now multiplying the highest exponent prime factors to calculate the LCM of 29603 and 29615.

LCM(29603,29615) = 71 × 42291 × 51 × 59231
LCM(29603,29615) = 876692845