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What is the Least Common Multiple of 3075 and 3085?

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 3075 and 3085 is 1897275.

LCM(3075,3085) = 1897275

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Least Common Multiple of 3075 and 3085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3075 and 3085, than apply into the LCM equation.

GCF(3075,3085) = 5
LCM(3075,3085) = ( 3075 × 3085) / 5
LCM(3075,3085) = 9486375 / 5
LCM(3075,3085) = 1897275

Least Common Multiple (LCM) of 3075 and 3085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3075 and 3085. First we will calculate the prime factors of 3075 and 3085.

Prime Factorization of 3075

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

3075 = 31 × 52 × 411

Prime Factorization of 3085

Prime factors of 3085 are 5, 617. Prime factorization of 3085 in exponential form is:

3085 = 51 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 3075 and 3085.

LCM(3075,3085) = 31 × 52 × 411 × 6171
LCM(3075,3085) = 1897275