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What is the Least Common Multiple of 3060 and 3069?

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 3060 and 3069 is 1043460.

LCM(3060,3069) = 1043460

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Least Common Multiple of 3060 and 3069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3060 and 3069, than apply into the LCM equation.

GCF(3060,3069) = 9
LCM(3060,3069) = ( 3060 × 3069) / 9
LCM(3060,3069) = 9391140 / 9
LCM(3060,3069) = 1043460

Least Common Multiple (LCM) of 3060 and 3069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3060 and 3069. First we will calculate the prime factors of 3060 and 3069.

Prime Factorization of 3060

Prime factors of 3060 are 2, 3, 5, 17. Prime factorization of 3060 in exponential form is:

3060 = 22 × 32 × 51 × 171

Prime Factorization of 3069

Prime factors of 3069 are 3, 11, 31. Prime factorization of 3069 in exponential form is:

3069 = 32 × 111 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 3060 and 3069.

LCM(3060,3069) = 22 × 32 × 51 × 171 × 111 × 311
LCM(3060,3069) = 1043460