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What is the Least Common Multiple of 28226 and 28242?

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 28226 and 28242 is 398579346.

LCM(28226,28242) = 398579346

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Least Common Multiple of 28226 and 28242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28226 and 28242, than apply into the LCM equation.

GCF(28226,28242) = 2
LCM(28226,28242) = ( 28226 × 28242) / 2
LCM(28226,28242) = 797158692 / 2
LCM(28226,28242) = 398579346

Least Common Multiple (LCM) of 28226 and 28242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28226 and 28242. First we will calculate the prime factors of 28226 and 28242.

Prime Factorization of 28226

Prime factors of 28226 are 2, 11, 1283. Prime factorization of 28226 in exponential form is:

28226 = 21 × 111 × 12831

Prime Factorization of 28242

Prime factors of 28242 are 2, 3, 523. Prime factorization of 28242 in exponential form is:

28242 = 21 × 33 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 28226 and 28242.

LCM(28226,28242) = 21 × 111 × 12831 × 33 × 5231
LCM(28226,28242) = 398579346