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What is the Least Common Multiple of 29696 and 29706?

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 29696 and 29706 is 441074688.

LCM(29696,29706) = 441074688

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Least Common Multiple of 29696 and 29706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29696 and 29706, than apply into the LCM equation.

GCF(29696,29706) = 2
LCM(29696,29706) = ( 29696 × 29706) / 2
LCM(29696,29706) = 882149376 / 2
LCM(29696,29706) = 441074688

Least Common Multiple (LCM) of 29696 and 29706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29696 and 29706. First we will calculate the prime factors of 29696 and 29706.

Prime Factorization of 29696

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

29696 = 210 × 291

Prime Factorization of 29706

Prime factors of 29706 are 2, 3, 4951. Prime factorization of 29706 in exponential form is:

29706 = 21 × 31 × 49511

Now multiplying the highest exponent prime factors to calculate the LCM of 29696 and 29706.

LCM(29696,29706) = 210 × 291 × 31 × 49511
LCM(29696,29706) = 441074688