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What is the Least Common Multiple of 28413 and 28420?

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 28413 and 28420 is 115356780.

LCM(28413,28420) = 115356780

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Least Common Multiple of 28413 and 28420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28413 and 28420, than apply into the LCM equation.

GCF(28413,28420) = 7
LCM(28413,28420) = ( 28413 × 28420) / 7
LCM(28413,28420) = 807497460 / 7
LCM(28413,28420) = 115356780

Least Common Multiple (LCM) of 28413 and 28420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28413 and 28420. First we will calculate the prime factors of 28413 and 28420.

Prime Factorization of 28413

Prime factors of 28413 are 3, 7, 11, 41. Prime factorization of 28413 in exponential form is:

28413 = 32 × 71 × 111 × 411

Prime Factorization of 28420

Prime factors of 28420 are 2, 5, 7, 29. Prime factorization of 28420 in exponential form is:

28420 = 22 × 51 × 72 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 28413 and 28420.

LCM(28413,28420) = 32 × 72 × 111 × 411 × 22 × 51 × 291
LCM(28413,28420) = 115356780