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What is the Least Common Multiple of 32883 and 32901?

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 32883 and 32901 is 360627861.

LCM(32883,32901) = 360627861

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Least Common Multiple of 32883 and 32901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32883 and 32901, than apply into the LCM equation.

GCF(32883,32901) = 3
LCM(32883,32901) = ( 32883 × 32901) / 3
LCM(32883,32901) = 1081883583 / 3
LCM(32883,32901) = 360627861

Least Common Multiple (LCM) of 32883 and 32901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32883 and 32901. First we will calculate the prime factors of 32883 and 32901.

Prime Factorization of 32883

Prime factors of 32883 are 3, 97, 113. Prime factorization of 32883 in exponential form is:

32883 = 31 × 971 × 1131

Prime Factorization of 32901

Prime factors of 32901 are 3, 11, 997. Prime factorization of 32901 in exponential form is:

32901 = 31 × 111 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 32883 and 32901.

LCM(32883,32901) = 31 × 971 × 1131 × 111 × 9971
LCM(32883,32901) = 360627861