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What is the Least Common Multiple of 8998 and 9014?

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 8998 and 9014 is 40553986.

LCM(8998,9014) = 40553986

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Least Common Multiple of 8998 and 9014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8998 and 9014, than apply into the LCM equation.

GCF(8998,9014) = 2
LCM(8998,9014) = ( 8998 × 9014) / 2
LCM(8998,9014) = 81107972 / 2
LCM(8998,9014) = 40553986

Least Common Multiple (LCM) of 8998 and 9014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8998 and 9014. First we will calculate the prime factors of 8998 and 9014.

Prime Factorization of 8998

Prime factors of 8998 are 2, 11, 409. Prime factorization of 8998 in exponential form is:

8998 = 21 × 111 × 4091

Prime Factorization of 9014

Prime factors of 9014 are 2, 4507. Prime factorization of 9014 in exponential form is:

9014 = 21 × 45071

Now multiplying the highest exponent prime factors to calculate the LCM of 8998 and 9014.

LCM(8998,9014) = 21 × 111 × 4091 × 45071
LCM(8998,9014) = 40553986