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What is the Least Common Multiple of 32141 and 32155?

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 32141 and 32155 is 1033493855.

LCM(32141,32155) = 1033493855

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Least Common Multiple of 32141 and 32155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32141 and 32155, than apply into the LCM equation.

GCF(32141,32155) = 1
LCM(32141,32155) = ( 32141 × 32155) / 1
LCM(32141,32155) = 1033493855 / 1
LCM(32141,32155) = 1033493855

Least Common Multiple (LCM) of 32141 and 32155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32141 and 32155. First we will calculate the prime factors of 32141 and 32155.

Prime Factorization of 32141

Prime factors of 32141 are 32141. Prime factorization of 32141 in exponential form is:

32141 = 321411

Prime Factorization of 32155

Prime factors of 32155 are 5, 59, 109. Prime factorization of 32155 in exponential form is:

32155 = 51 × 591 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 32141 and 32155.

LCM(32141,32155) = 321411 × 51 × 591 × 1091
LCM(32141,32155) = 1033493855