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What is the Least Common Multiple of 33161 and 33171?

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 33161 and 33171 is 1099983531.

LCM(33161,33171) = 1099983531

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Least Common Multiple of 33161 and 33171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33161 and 33171, than apply into the LCM equation.

GCF(33161,33171) = 1
LCM(33161,33171) = ( 33161 × 33171) / 1
LCM(33161,33171) = 1099983531 / 1
LCM(33161,33171) = 1099983531

Least Common Multiple (LCM) of 33161 and 33171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33161 and 33171. First we will calculate the prime factors of 33161 and 33171.

Prime Factorization of 33161

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

33161 = 331611

Prime Factorization of 33171

Prime factors of 33171 are 3, 11057. Prime factorization of 33171 in exponential form is:

33171 = 31 × 110571

Now multiplying the highest exponent prime factors to calculate the LCM of 33161 and 33171.

LCM(33161,33171) = 331611 × 31 × 110571
LCM(33161,33171) = 1099983531