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What is the Least Common Multiple of 32177 and 32194?

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 32177 and 32194 is 1035906338.

LCM(32177,32194) = 1035906338

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Least Common Multiple of 32177 and 32194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32177 and 32194, than apply into the LCM equation.

GCF(32177,32194) = 1
LCM(32177,32194) = ( 32177 × 32194) / 1
LCM(32177,32194) = 1035906338 / 1
LCM(32177,32194) = 1035906338

Least Common Multiple (LCM) of 32177 and 32194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32177 and 32194. First we will calculate the prime factors of 32177 and 32194.

Prime Factorization of 32177

Prime factors of 32177 are 23, 1399. Prime factorization of 32177 in exponential form is:

32177 = 231 × 13991

Prime Factorization of 32194

Prime factors of 32194 are 2, 16097. Prime factorization of 32194 in exponential form is:

32194 = 21 × 160971

Now multiplying the highest exponent prime factors to calculate the LCM of 32177 and 32194.

LCM(32177,32194) = 231 × 13991 × 21 × 160971
LCM(32177,32194) = 1035906338