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What is the Least Common Multiple of 33161 and 33172?

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 33172 is 1100016692.

LCM(33161,33172) = 1100016692

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Least Common Multiple of 33161 and 33172 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 33172, than apply into the LCM equation.

GCF(33161,33172) = 1
LCM(33161,33172) = ( 33161 × 33172) / 1
LCM(33161,33172) = 1100016692 / 1
LCM(33161,33172) = 1100016692

Least Common Multiple (LCM) of 33161 and 33172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33161 and 33172. First we will calculate the prime factors of 33161 and 33172.

Prime Factorization of 33161

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

33161 = 331611

Prime Factorization of 33172

Prime factors of 33172 are 2, 8293. Prime factorization of 33172 in exponential form is:

33172 = 22 × 82931

Now multiplying the highest exponent prime factors to calculate the LCM of 33161 and 33172.

LCM(33161,33172) = 331611 × 22 × 82931
LCM(33161,33172) = 1100016692