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What is the Least Common Multiple of 30007 and 30014?

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 30007 and 30014 is 900630098.

LCM(30007,30014) = 900630098

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Least Common Multiple of 30007 and 30014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30007 and 30014, than apply into the LCM equation.

GCF(30007,30014) = 1
LCM(30007,30014) = ( 30007 × 30014) / 1
LCM(30007,30014) = 900630098 / 1
LCM(30007,30014) = 900630098

Least Common Multiple (LCM) of 30007 and 30014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30007 and 30014. First we will calculate the prime factors of 30007 and 30014.

Prime Factorization of 30007

Prime factors of 30007 are 37, 811. Prime factorization of 30007 in exponential form is:

30007 = 371 × 8111

Prime Factorization of 30014

Prime factors of 30014 are 2, 43, 349. Prime factorization of 30014 in exponential form is:

30014 = 21 × 431 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 30007 and 30014.

LCM(30007,30014) = 371 × 8111 × 21 × 431 × 3491
LCM(30007,30014) = 900630098