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What is the Least Common Multiple of 9068 and 9074?

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 9068 and 9074 is 41141516.

LCM(9068,9074) = 41141516

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Least Common Multiple of 9068 and 9074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9068 and 9074, than apply into the LCM equation.

GCF(9068,9074) = 2
LCM(9068,9074) = ( 9068 × 9074) / 2
LCM(9068,9074) = 82283032 / 2
LCM(9068,9074) = 41141516

Least Common Multiple (LCM) of 9068 and 9074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9068 and 9074. First we will calculate the prime factors of 9068 and 9074.

Prime Factorization of 9068

Prime factors of 9068 are 2, 2267. Prime factorization of 9068 in exponential form is:

9068 = 22 × 22671

Prime Factorization of 9074

Prime factors of 9074 are 2, 13, 349. Prime factorization of 9074 in exponential form is:

9074 = 21 × 131 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 9068 and 9074.

LCM(9068,9074) = 22 × 22671 × 131 × 3491
LCM(9068,9074) = 41141516