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What is the Least Common Multiple of 28415 and 28424?

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 28415 and 28424 is 807667960.

LCM(28415,28424) = 807667960

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Least Common Multiple of 28415 and 28424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28415 and 28424, than apply into the LCM equation.

GCF(28415,28424) = 1
LCM(28415,28424) = ( 28415 × 28424) / 1
LCM(28415,28424) = 807667960 / 1
LCM(28415,28424) = 807667960

Least Common Multiple (LCM) of 28415 and 28424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28415 and 28424. First we will calculate the prime factors of 28415 and 28424.

Prime Factorization of 28415

Prime factors of 28415 are 5, 5683. Prime factorization of 28415 in exponential form is:

28415 = 51 × 56831

Prime Factorization of 28424

Prime factors of 28424 are 2, 11, 17, 19. Prime factorization of 28424 in exponential form is:

28424 = 23 × 111 × 171 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 28415 and 28424.

LCM(28415,28424) = 51 × 56831 × 23 × 111 × 171 × 191
LCM(28415,28424) = 807667960