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What is the Least Common Multiple of 28440 and 28458?

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 28440 and 28458 is 44963640.

LCM(28440,28458) = 44963640

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Least Common Multiple of 28440 and 28458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28440 and 28458, than apply into the LCM equation.

GCF(28440,28458) = 18
LCM(28440,28458) = ( 28440 × 28458) / 18
LCM(28440,28458) = 809345520 / 18
LCM(28440,28458) = 44963640

Least Common Multiple (LCM) of 28440 and 28458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28440 and 28458. First we will calculate the prime factors of 28440 and 28458.

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

Prime Factorization of 28458

Prime factors of 28458 are 2, 3, 17, 31. Prime factorization of 28458 in exponential form is:

28458 = 21 × 33 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 28440 and 28458.

LCM(28440,28458) = 23 × 33 × 51 × 791 × 171 × 311
LCM(28440,28458) = 44963640