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What is the Least Common Multiple of 28132 and 28152?

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 28132 and 28152 is 197993016.

LCM(28132,28152) = 197993016

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Least Common Multiple of 28132 and 28152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28132 and 28152, than apply into the LCM equation.

GCF(28132,28152) = 4
LCM(28132,28152) = ( 28132 × 28152) / 4
LCM(28132,28152) = 791972064 / 4
LCM(28132,28152) = 197993016

Least Common Multiple (LCM) of 28132 and 28152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28132 and 28152. First we will calculate the prime factors of 28132 and 28152.

Prime Factorization of 28132

Prime factors of 28132 are 2, 13, 541. Prime factorization of 28132 in exponential form is:

28132 = 22 × 131 × 5411

Prime Factorization of 28152

Prime factors of 28152 are 2, 3, 17, 23. Prime factorization of 28152 in exponential form is:

28152 = 23 × 32 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 28132 and 28152.

LCM(28132,28152) = 23 × 131 × 5411 × 32 × 171 × 231
LCM(28132,28152) = 197993016