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What is the Least Common Multiple of 29663 and 29683?

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 29663 and 29683 is 880486829.

LCM(29663,29683) = 880486829

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Least Common Multiple of 29663 and 29683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29663 and 29683, than apply into the LCM equation.

GCF(29663,29683) = 1
LCM(29663,29683) = ( 29663 × 29683) / 1
LCM(29663,29683) = 880486829 / 1
LCM(29663,29683) = 880486829

Least Common Multiple (LCM) of 29663 and 29683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29663 and 29683. First we will calculate the prime factors of 29663 and 29683.

Prime Factorization of 29663

Prime factors of 29663 are 29663. Prime factorization of 29663 in exponential form is:

29663 = 296631

Prime Factorization of 29683

Prime factors of 29683 are 29683. Prime factorization of 29683 in exponential form is:

29683 = 296831

Now multiplying the highest exponent prime factors to calculate the LCM of 29663 and 29683.

LCM(29663,29683) = 296631 × 296831
LCM(29663,29683) = 880486829