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What is the Least Common Multiple of 33157 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 33157 and 33161 is 1099519277.

LCM(33157,33161) = 1099519277

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Least Common Multiple of 33157 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 33157 and 33161, than apply into the LCM equation.

GCF(33157,33161) = 1
LCM(33157,33161) = ( 33157 × 33161) / 1
LCM(33157,33161) = 1099519277 / 1
LCM(33157,33161) = 1099519277

Least Common Multiple (LCM) of 33157 and 33161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33157 and 33161. First we will calculate the prime factors of 33157 and 33161.

Prime Factorization of 33157

Prime factors of 33157 are 71, 467. Prime factorization of 33157 in exponential form is:

33157 = 711 × 4671

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 33157 and 33161.

LCM(33157,33161) = 711 × 4671 × 331611
LCM(33157,33161) = 1099519277