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What is the Least Common Multiple of 30982 and 30995?

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 30982 and 30995 is 960287090.

LCM(30982,30995) = 960287090

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Least Common Multiple of 30982 and 30995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30982 and 30995, than apply into the LCM equation.

GCF(30982,30995) = 1
LCM(30982,30995) = ( 30982 × 30995) / 1
LCM(30982,30995) = 960287090 / 1
LCM(30982,30995) = 960287090

Least Common Multiple (LCM) of 30982 and 30995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30982 and 30995. First we will calculate the prime factors of 30982 and 30995.

Prime Factorization of 30982

Prime factors of 30982 are 2, 7, 2213. Prime factorization of 30982 in exponential form is:

30982 = 21 × 71 × 22131

Prime Factorization of 30995

Prime factors of 30995 are 5, 6199. Prime factorization of 30995 in exponential form is:

30995 = 51 × 61991

Now multiplying the highest exponent prime factors to calculate the LCM of 30982 and 30995.

LCM(30982,30995) = 21 × 71 × 22131 × 51 × 61991
LCM(30982,30995) = 960287090