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What is the Least Common Multiple of 28446 and 28462?

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 28446 and 28462 is 404815026.

LCM(28446,28462) = 404815026

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Least Common Multiple of 28446 and 28462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28446 and 28462, than apply into the LCM equation.

GCF(28446,28462) = 2
LCM(28446,28462) = ( 28446 × 28462) / 2
LCM(28446,28462) = 809630052 / 2
LCM(28446,28462) = 404815026

Least Common Multiple (LCM) of 28446 and 28462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28446 and 28462. First we will calculate the prime factors of 28446 and 28462.

Prime Factorization of 28446

Prime factors of 28446 are 2, 3, 11, 431. Prime factorization of 28446 in exponential form is:

28446 = 21 × 31 × 111 × 4311

Prime Factorization of 28462

Prime factors of 28462 are 2, 7, 19, 107. Prime factorization of 28462 in exponential form is:

28462 = 21 × 71 × 191 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 28446 and 28462.

LCM(28446,28462) = 21 × 31 × 111 × 4311 × 71 × 191 × 1071
LCM(28446,28462) = 404815026