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What is the Least Common Multiple of 30030 and 30047?

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 30047 is 902311410.

LCM(30030,30047) = 902311410

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Least Common Multiple of 30030 and 30047 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 30047, than apply into the LCM equation.

GCF(30030,30047) = 1
LCM(30030,30047) = ( 30030 × 30047) / 1
LCM(30030,30047) = 902311410 / 1
LCM(30030,30047) = 902311410

Least Common Multiple (LCM) of 30030 and 30047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30030 and 30047. First we will calculate the prime factors of 30030 and 30047.

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 30047

Prime factors of 30047 are 30047. Prime factorization of 30047 in exponential form is:

30047 = 300471

Now multiplying the highest exponent prime factors to calculate the LCM of 30030 and 30047.

LCM(30030,30047) = 21 × 31 × 51 × 71 × 111 × 131 × 300471
LCM(30030,30047) = 902311410