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What is the Least Common Multiple of 8980 and 8986?

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 8980 and 8986 is 40347140.

LCM(8980,8986) = 40347140

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Least Common Multiple of 8980 and 8986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8980 and 8986, than apply into the LCM equation.

GCF(8980,8986) = 2
LCM(8980,8986) = ( 8980 × 8986) / 2
LCM(8980,8986) = 80694280 / 2
LCM(8980,8986) = 40347140

Least Common Multiple (LCM) of 8980 and 8986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8980 and 8986. First we will calculate the prime factors of 8980 and 8986.

Prime Factorization of 8980

Prime factors of 8980 are 2, 5, 449. Prime factorization of 8980 in exponential form is:

8980 = 22 × 51 × 4491

Prime Factorization of 8986

Prime factors of 8986 are 2, 4493. Prime factorization of 8986 in exponential form is:

8986 = 21 × 44931

Now multiplying the highest exponent prime factors to calculate the LCM of 8980 and 8986.

LCM(8980,8986) = 22 × 51 × 4491 × 44931
LCM(8980,8986) = 40347140