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What is the Least Common Multiple of 3063 and 3070?

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 3063 and 3070 is 9403410.

LCM(3063,3070) = 9403410

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Least Common Multiple of 3063 and 3070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3063 and 3070, than apply into the LCM equation.

GCF(3063,3070) = 1
LCM(3063,3070) = ( 3063 × 3070) / 1
LCM(3063,3070) = 9403410 / 1
LCM(3063,3070) = 9403410

Least Common Multiple (LCM) of 3063 and 3070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3063 and 3070. First we will calculate the prime factors of 3063 and 3070.

Prime Factorization of 3063

Prime factors of 3063 are 3, 1021. Prime factorization of 3063 in exponential form is:

3063 = 31 × 10211

Prime Factorization of 3070

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

3070 = 21 × 51 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 3063 and 3070.

LCM(3063,3070) = 31 × 10211 × 21 × 51 × 3071
LCM(3063,3070) = 9403410