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What is the Least Common Multiple of 3070 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 3070 and 3075 is 1888050.

LCM(3070,3075) = 1888050

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Least Common Multiple of 3070 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 3070 and 3075, than apply into the LCM equation.

GCF(3070,3075) = 5
LCM(3070,3075) = ( 3070 × 3075) / 5
LCM(3070,3075) = 9440250 / 5
LCM(3070,3075) = 1888050

Least Common Multiple (LCM) of 3070 and 3075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3070 and 3075. First we will calculate the prime factors of 3070 and 3075.

Prime Factorization of 3070

Prime factors of 3070 are 2, 5, 307. Prime factorization of 3070 in exponential form is:

3070 = 21 × 51 × 3071

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 3070 and 3075.

LCM(3070,3075) = 21 × 52 × 3071 × 31 × 411
LCM(3070,3075) = 1888050