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What is the Least Common Multiple of 29603 and 29611?

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 29611 is 876574433.

LCM(29603,29611) = 876574433

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Least Common Multiple of 29603 and 29611 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 29611, than apply into the LCM equation.

GCF(29603,29611) = 1
LCM(29603,29611) = ( 29603 × 29611) / 1
LCM(29603,29611) = 876574433 / 1
LCM(29603,29611) = 876574433

Least Common Multiple (LCM) of 29603 and 29611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29603 and 29611. First we will calculate the prime factors of 29603 and 29611.

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 29611

Prime factors of 29611 are 29611. Prime factorization of 29611 in exponential form is:

29611 = 296111

Now multiplying the highest exponent prime factors to calculate the LCM of 29603 and 29611.

LCM(29603,29611) = 71 × 42291 × 296111
LCM(29603,29611) = 876574433