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What is the Least Common Multiple of 3051 and 3060?

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 3051 and 3060 is 1037340.

LCM(3051,3060) = 1037340

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Least Common Multiple of 3051 and 3060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3051 and 3060, than apply into the LCM equation.

GCF(3051,3060) = 9
LCM(3051,3060) = ( 3051 × 3060) / 9
LCM(3051,3060) = 9336060 / 9
LCM(3051,3060) = 1037340

Least Common Multiple (LCM) of 3051 and 3060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3051 and 3060. First we will calculate the prime factors of 3051 and 3060.

Prime Factorization of 3051

Prime factors of 3051 are 3, 113. Prime factorization of 3051 in exponential form is:

3051 = 33 × 1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3051 and 3060.

LCM(3051,3060) = 33 × 1131 × 22 × 51 × 171
LCM(3051,3060) = 1037340