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What is the Least Common Multiple of 33152 and 33161?

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 33152 and 33161 is 1099353472.

LCM(33152,33161) = 1099353472

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Least Common Multiple of 33152 and 33161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33152 and 33161, than apply into the LCM equation.

GCF(33152,33161) = 1
LCM(33152,33161) = ( 33152 × 33161) / 1
LCM(33152,33161) = 1099353472 / 1
LCM(33152,33161) = 1099353472

Least Common Multiple (LCM) of 33152 and 33161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33152 and 33161. First we will calculate the prime factors of 33152 and 33161.

Prime Factorization of 33152

Prime factors of 33152 are 2, 7, 37. Prime factorization of 33152 in exponential form is:

33152 = 27 × 71 × 371

Prime Factorization of 33161

Prime factors of 33161 are 33161. Prime factorization of 33161 in exponential form is:

33161 = 331611

Now multiplying the highest exponent prime factors to calculate the LCM of 33152 and 33161.

LCM(33152,33161) = 27 × 71 × 371 × 331611
LCM(33152,33161) = 1099353472