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What is the Least Common Multiple of 5970 and 5982?

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 5970 and 5982 is 5952090.

LCM(5970,5982) = 5952090

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Least Common Multiple of 5970 and 5982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5970 and 5982, than apply into the LCM equation.

GCF(5970,5982) = 6
LCM(5970,5982) = ( 5970 × 5982) / 6
LCM(5970,5982) = 35712540 / 6
LCM(5970,5982) = 5952090

Least Common Multiple (LCM) of 5970 and 5982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5970 and 5982. First we will calculate the prime factors of 5970 and 5982.

Prime Factorization of 5970

Prime factors of 5970 are 2, 3, 5, 199. Prime factorization of 5970 in exponential form is:

5970 = 21 × 31 × 51 × 1991

Prime Factorization of 5982

Prime factors of 5982 are 2, 3, 997. Prime factorization of 5982 in exponential form is:

5982 = 21 × 31 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 5970 and 5982.

LCM(5970,5982) = 21 × 31 × 51 × 1991 × 9971
LCM(5970,5982) = 5952090