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What is the Least Common Multiple of 29420 and 29427?

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 29427 is 865742340.

LCM(29420,29427) = 865742340

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Least Common Multiple of 29420 and 29427 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 29427, than apply into the LCM equation.

GCF(29420,29427) = 1
LCM(29420,29427) = ( 29420 × 29427) / 1
LCM(29420,29427) = 865742340 / 1
LCM(29420,29427) = 865742340

Least Common Multiple (LCM) of 29420 and 29427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29420 and 29427. First we will calculate the prime factors of 29420 and 29427.

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 29427

Prime factors of 29427 are 3, 17, 577. Prime factorization of 29427 in exponential form is:

29427 = 31 × 171 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 29420 and 29427.

LCM(29420,29427) = 22 × 51 × 14711 × 31 × 171 × 5771
LCM(29420,29427) = 865742340