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What is the Least Common Multiple of 30030 and 30034?

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 30030 and 30034 is 450960510.

LCM(30030,30034) = 450960510

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Least Common Multiple of 30030 and 30034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30030 and 30034, than apply into the LCM equation.

GCF(30030,30034) = 2
LCM(30030,30034) = ( 30030 × 30034) / 2
LCM(30030,30034) = 901921020 / 2
LCM(30030,30034) = 450960510

Least Common Multiple (LCM) of 30030 and 30034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30030 and 30034. First we will calculate the prime factors of 30030 and 30034.

Prime Factorization of 30030

Prime factors of 30030 are 2, 3, 5, 7, 11, 13. Prime factorization of 30030 in exponential form is:

30030 = 21 × 31 × 51 × 71 × 111 × 131

Prime Factorization of 30034

Prime factors of 30034 are 2, 15017. Prime factorization of 30034 in exponential form is:

30034 = 21 × 150171

Now multiplying the highest exponent prime factors to calculate the LCM of 30030 and 30034.

LCM(30030,30034) = 21 × 31 × 51 × 71 × 111 × 131 × 150171
LCM(30030,30034) = 450960510