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What is the Least Common Multiple of 32877 and 32881?

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 32877 and 32881 is 1081028637.

LCM(32877,32881) = 1081028637

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Least Common Multiple of 32877 and 32881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32877 and 32881, than apply into the LCM equation.

GCF(32877,32881) = 1
LCM(32877,32881) = ( 32877 × 32881) / 1
LCM(32877,32881) = 1081028637 / 1
LCM(32877,32881) = 1081028637

Least Common Multiple (LCM) of 32877 and 32881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32877 and 32881. First we will calculate the prime factors of 32877 and 32881.

Prime Factorization of 32877

Prime factors of 32877 are 3, 13, 281. Prime factorization of 32877 in exponential form is:

32877 = 32 × 131 × 2811

Prime Factorization of 32881

Prime factors of 32881 are 131, 251. Prime factorization of 32881 in exponential form is:

32881 = 1311 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 32877 and 32881.

LCM(32877,32881) = 32 × 131 × 2811 × 1311 × 2511
LCM(32877,32881) = 1081028637