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What is the Least Common Multiple of 29642 and 29646?

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 29642 and 29646 is 439383366.

LCM(29642,29646) = 439383366

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Least Common Multiple of 29642 and 29646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29642 and 29646, than apply into the LCM equation.

GCF(29642,29646) = 2
LCM(29642,29646) = ( 29642 × 29646) / 2
LCM(29642,29646) = 878766732 / 2
LCM(29642,29646) = 439383366

Least Common Multiple (LCM) of 29642 and 29646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29642 and 29646. First we will calculate the prime factors of 29642 and 29646.

Prime Factorization of 29642

Prime factors of 29642 are 2, 14821. Prime factorization of 29642 in exponential form is:

29642 = 21 × 148211

Prime Factorization of 29646

Prime factors of 29646 are 2, 3, 61. Prime factorization of 29646 in exponential form is:

29646 = 21 × 35 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 29642 and 29646.

LCM(29642,29646) = 21 × 148211 × 35 × 611
LCM(29642,29646) = 439383366