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What is the Least Common Multiple of 5989 and 5993?

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 5989 and 5993 is 35892077.

LCM(5989,5993) = 35892077

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Least Common Multiple of 5989 and 5993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5989 and 5993, than apply into the LCM equation.

GCF(5989,5993) = 1
LCM(5989,5993) = ( 5989 × 5993) / 1
LCM(5989,5993) = 35892077 / 1
LCM(5989,5993) = 35892077

Least Common Multiple (LCM) of 5989 and 5993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5989 and 5993. First we will calculate the prime factors of 5989 and 5993.

Prime Factorization of 5989

Prime factors of 5989 are 53, 113. Prime factorization of 5989 in exponential form is:

5989 = 531 × 1131

Prime Factorization of 5993

Prime factors of 5993 are 13, 461. Prime factorization of 5993 in exponential form is:

5993 = 131 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 5989 and 5993.

LCM(5989,5993) = 531 × 1131 × 131 × 4611
LCM(5989,5993) = 35892077