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What is the Least Common Multiple of 8972 and 8990?

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 8972 and 8990 is 40329140.

LCM(8972,8990) = 40329140

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Least Common Multiple of 8972 and 8990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8972 and 8990, than apply into the LCM equation.

GCF(8972,8990) = 2
LCM(8972,8990) = ( 8972 × 8990) / 2
LCM(8972,8990) = 80658280 / 2
LCM(8972,8990) = 40329140

Least Common Multiple (LCM) of 8972 and 8990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8972 and 8990. First we will calculate the prime factors of 8972 and 8990.

Prime Factorization of 8972

Prime factors of 8972 are 2, 2243. Prime factorization of 8972 in exponential form is:

8972 = 22 × 22431

Prime Factorization of 8990

Prime factors of 8990 are 2, 5, 29, 31. Prime factorization of 8990 in exponential form is:

8990 = 21 × 51 × 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 8972 and 8990.

LCM(8972,8990) = 22 × 22431 × 51 × 291 × 311
LCM(8972,8990) = 40329140