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What is the Least Common Multiple of 28122 and 28130?

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 28122 and 28130 is 395535930.

LCM(28122,28130) = 395535930

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Least Common Multiple of 28122 and 28130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28122 and 28130, than apply into the LCM equation.

GCF(28122,28130) = 2
LCM(28122,28130) = ( 28122 × 28130) / 2
LCM(28122,28130) = 791071860 / 2
LCM(28122,28130) = 395535930

Least Common Multiple (LCM) of 28122 and 28130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28122 and 28130. First we will calculate the prime factors of 28122 and 28130.

Prime Factorization of 28122

Prime factors of 28122 are 2, 3, 43, 109. Prime factorization of 28122 in exponential form is:

28122 = 21 × 31 × 431 × 1091

Prime Factorization of 28130

Prime factors of 28130 are 2, 5, 29, 97. Prime factorization of 28130 in exponential form is:

28130 = 21 × 51 × 291 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 28122 and 28130.

LCM(28122,28130) = 21 × 31 × 431 × 1091 × 51 × 291 × 971
LCM(28122,28130) = 395535930