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What is the Least Common Multiple of 5980 and 5989?

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 5980 and 5989 is 35814220.

LCM(5980,5989) = 35814220

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Least Common Multiple of 5980 and 5989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5980 and 5989, than apply into the LCM equation.

GCF(5980,5989) = 1
LCM(5980,5989) = ( 5980 × 5989) / 1
LCM(5980,5989) = 35814220 / 1
LCM(5980,5989) = 35814220

Least Common Multiple (LCM) of 5980 and 5989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5980 and 5989. First we will calculate the prime factors of 5980 and 5989.

Prime Factorization of 5980

Prime factors of 5980 are 2, 5, 13, 23. Prime factorization of 5980 in exponential form is:

5980 = 22 × 51 × 131 × 231

Prime Factorization of 5989

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

5989 = 531 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 5980 and 5989.

LCM(5980,5989) = 22 × 51 × 131 × 231 × 531 × 1131
LCM(5980,5989) = 35814220