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What is the Least Common Multiple of 3021 and 3030?

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 3021 and 3030 is 3051210.

LCM(3021,3030) = 3051210

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Least Common Multiple of 3021 and 3030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3021 and 3030, than apply into the LCM equation.

GCF(3021,3030) = 3
LCM(3021,3030) = ( 3021 × 3030) / 3
LCM(3021,3030) = 9153630 / 3
LCM(3021,3030) = 3051210

Least Common Multiple (LCM) of 3021 and 3030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3021 and 3030. First we will calculate the prime factors of 3021 and 3030.

Prime Factorization of 3021

Prime factors of 3021 are 3, 19, 53. Prime factorization of 3021 in exponential form is:

3021 = 31 × 191 × 531

Prime Factorization of 3030

Prime factors of 3030 are 2, 3, 5, 101. Prime factorization of 3030 in exponential form is:

3030 = 21 × 31 × 51 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 3021 and 3030.

LCM(3021,3030) = 31 × 191 × 531 × 21 × 51 × 1011
LCM(3021,3030) = 3051210