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What is the Least Common Multiple of 28422 and 28440?

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 28422 and 28440 is 44906760.

LCM(28422,28440) = 44906760

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Least Common Multiple of 28422 and 28440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28422 and 28440, than apply into the LCM equation.

GCF(28422,28440) = 18
LCM(28422,28440) = ( 28422 × 28440) / 18
LCM(28422,28440) = 808321680 / 18
LCM(28422,28440) = 44906760

Least Common Multiple (LCM) of 28422 and 28440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28422 and 28440. First we will calculate the prime factors of 28422 and 28440.

Prime Factorization of 28422

Prime factors of 28422 are 2, 3, 1579. Prime factorization of 28422 in exponential form is:

28422 = 21 × 32 × 15791

Prime Factorization of 28440

Prime factors of 28440 are 2, 3, 5, 79. Prime factorization of 28440 in exponential form is:

28440 = 23 × 32 × 51 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 28422 and 28440.

LCM(28422,28440) = 23 × 32 × 15791 × 51 × 791
LCM(28422,28440) = 44906760