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What is the Least Common Multiple of 29685 and 29696?

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 29685 and 29696 is 881525760.

LCM(29685,29696) = 881525760

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Least Common Multiple of 29685 and 29696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29685 and 29696, than apply into the LCM equation.

GCF(29685,29696) = 1
LCM(29685,29696) = ( 29685 × 29696) / 1
LCM(29685,29696) = 881525760 / 1
LCM(29685,29696) = 881525760

Least Common Multiple (LCM) of 29685 and 29696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29685 and 29696. First we will calculate the prime factors of 29685 and 29696.

Prime Factorization of 29685

Prime factors of 29685 are 3, 5, 1979. Prime factorization of 29685 in exponential form is:

29685 = 31 × 51 × 19791

Prime Factorization of 29696

Prime factors of 29696 are 2, 29. Prime factorization of 29696 in exponential form is:

29696 = 210 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 29685 and 29696.

LCM(29685,29696) = 31 × 51 × 19791 × 210 × 291
LCM(29685,29696) = 881525760