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What is the Least Common Multiple of 8973 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 8973 and 8990 is 80667270.

LCM(8973,8990) = 80667270

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Least Common Multiple of 8973 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 8973 and 8990, than apply into the LCM equation.

GCF(8973,8990) = 1
LCM(8973,8990) = ( 8973 × 8990) / 1
LCM(8973,8990) = 80667270 / 1
LCM(8973,8990) = 80667270

Least Common Multiple (LCM) of 8973 and 8990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8973 and 8990. First we will calculate the prime factors of 8973 and 8990.

Prime Factorization of 8973

Prime factors of 8973 are 3, 997. Prime factorization of 8973 in exponential form is:

8973 = 32 × 9971

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 8973 and 8990.

LCM(8973,8990) = 32 × 9971 × 21 × 51 × 291 × 311
LCM(8973,8990) = 80667270