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What is the Least Common Multiple of 30063 and 30071?

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 30063 and 30071 is 904024473.

LCM(30063,30071) = 904024473

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Least Common Multiple of 30063 and 30071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30063 and 30071, than apply into the LCM equation.

GCF(30063,30071) = 1
LCM(30063,30071) = ( 30063 × 30071) / 1
LCM(30063,30071) = 904024473 / 1
LCM(30063,30071) = 904024473

Least Common Multiple (LCM) of 30063 and 30071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30063 and 30071. First we will calculate the prime factors of 30063 and 30071.

Prime Factorization of 30063

Prime factors of 30063 are 3, 11, 911. Prime factorization of 30063 in exponential form is:

30063 = 31 × 111 × 9111

Prime Factorization of 30071

Prime factors of 30071 are 30071. Prime factorization of 30071 in exponential form is:

30071 = 300711

Now multiplying the highest exponent prime factors to calculate the LCM of 30063 and 30071.

LCM(30063,30071) = 31 × 111 × 9111 × 300711
LCM(30063,30071) = 904024473