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What is the Least Common Multiple of 29466 and 29480?

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 29466 and 29480 is 434328840.

LCM(29466,29480) = 434328840

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Least Common Multiple of 29466 and 29480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29466 and 29480, than apply into the LCM equation.

GCF(29466,29480) = 2
LCM(29466,29480) = ( 29466 × 29480) / 2
LCM(29466,29480) = 868657680 / 2
LCM(29466,29480) = 434328840

Least Common Multiple (LCM) of 29466 and 29480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29466 and 29480. First we will calculate the prime factors of 29466 and 29480.

Prime Factorization of 29466

Prime factors of 29466 are 2, 3, 1637. Prime factorization of 29466 in exponential form is:

29466 = 21 × 32 × 16371

Prime Factorization of 29480

Prime factors of 29480 are 2, 5, 11, 67. Prime factorization of 29480 in exponential form is:

29480 = 23 × 51 × 111 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 29466 and 29480.

LCM(29466,29480) = 23 × 32 × 16371 × 51 × 111 × 671
LCM(29466,29480) = 434328840