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What is the Least Common Multiple of 28058 and 28072?

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 28058 and 28072 is 393822088.

LCM(28058,28072) = 393822088

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Least Common Multiple of 28058 and 28072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28058 and 28072, than apply into the LCM equation.

GCF(28058,28072) = 2
LCM(28058,28072) = ( 28058 × 28072) / 2
LCM(28058,28072) = 787644176 / 2
LCM(28058,28072) = 393822088

Least Common Multiple (LCM) of 28058 and 28072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28058 and 28072. First we will calculate the prime factors of 28058 and 28072.

Prime Factorization of 28058

Prime factors of 28058 are 2, 14029. Prime factorization of 28058 in exponential form is:

28058 = 21 × 140291

Prime Factorization of 28072

Prime factors of 28072 are 2, 11, 29. Prime factorization of 28072 in exponential form is:

28072 = 23 × 112 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 28058 and 28072.

LCM(28058,28072) = 23 × 140291 × 112 × 291
LCM(28058,28072) = 393822088