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What is the Least Common Multiple of 29480 and 29500?

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 29480 and 29500 is 43483000.

LCM(29480,29500) = 43483000

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Least Common Multiple of 29480 and 29500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29480 and 29500, than apply into the LCM equation.

GCF(29480,29500) = 20
LCM(29480,29500) = ( 29480 × 29500) / 20
LCM(29480,29500) = 869660000 / 20
LCM(29480,29500) = 43483000

Least Common Multiple (LCM) of 29480 and 29500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29480 and 29500. First we will calculate the prime factors of 29480 and 29500.

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

Prime Factorization of 29500

Prime factors of 29500 are 2, 5, 59. Prime factorization of 29500 in exponential form is:

29500 = 22 × 53 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 29480 and 29500.

LCM(29480,29500) = 23 × 53 × 111 × 671 × 591
LCM(29480,29500) = 43483000