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What is the Least Common Multiple of 3068 and 3074?

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 3068 and 3074 is 4715516.

LCM(3068,3074) = 4715516

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Least Common Multiple of 3068 and 3074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3068 and 3074, than apply into the LCM equation.

GCF(3068,3074) = 2
LCM(3068,3074) = ( 3068 × 3074) / 2
LCM(3068,3074) = 9431032 / 2
LCM(3068,3074) = 4715516

Least Common Multiple (LCM) of 3068 and 3074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3068 and 3074. First we will calculate the prime factors of 3068 and 3074.

Prime Factorization of 3068

Prime factors of 3068 are 2, 13, 59. Prime factorization of 3068 in exponential form is:

3068 = 22 × 131 × 591

Prime Factorization of 3074

Prime factors of 3074 are 2, 29, 53. Prime factorization of 3074 in exponential form is:

3074 = 21 × 291 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 3068 and 3074.

LCM(3068,3074) = 22 × 131 × 591 × 291 × 531
LCM(3068,3074) = 4715516