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What is the Least Common Multiple of 29420 and 29438?

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 29420 and 29438 is 433032980.

LCM(29420,29438) = 433032980

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Least Common Multiple of 29420 and 29438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29420 and 29438, than apply into the LCM equation.

GCF(29420,29438) = 2
LCM(29420,29438) = ( 29420 × 29438) / 2
LCM(29420,29438) = 866065960 / 2
LCM(29420,29438) = 433032980

Least Common Multiple (LCM) of 29420 and 29438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29420 and 29438. First we will calculate the prime factors of 29420 and 29438.

Prime Factorization of 29420

Prime factors of 29420 are 2, 5, 1471. Prime factorization of 29420 in exponential form is:

29420 = 22 × 51 × 14711

Prime Factorization of 29438

Prime factors of 29438 are 2, 41, 359. Prime factorization of 29438 in exponential form is:

29438 = 21 × 411 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 29420 and 29438.

LCM(29420,29438) = 22 × 51 × 14711 × 411 × 3591
LCM(29420,29438) = 433032980