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What is the Least Common Multiple of 3061 and 3075?

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 3061 and 3075 is 9412575.

LCM(3061,3075) = 9412575

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Least Common Multiple of 3061 and 3075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3061 and 3075, than apply into the LCM equation.

GCF(3061,3075) = 1
LCM(3061,3075) = ( 3061 × 3075) / 1
LCM(3061,3075) = 9412575 / 1
LCM(3061,3075) = 9412575

Least Common Multiple (LCM) of 3061 and 3075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3061 and 3075. First we will calculate the prime factors of 3061 and 3075.

Prime Factorization of 3061

Prime factors of 3061 are 3061. Prime factorization of 3061 in exponential form is:

3061 = 30611

Prime Factorization of 3075

Prime factors of 3075 are 3, 5, 41. Prime factorization of 3075 in exponential form is:

3075 = 31 × 52 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 3061 and 3075.

LCM(3061,3075) = 30611 × 31 × 52 × 411
LCM(3061,3075) = 9412575