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What is the Least Common Multiple of 30037 and 30041?

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 30037 and 30041 is 902341517.

LCM(30037,30041) = 902341517

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Least Common Multiple of 30037 and 30041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30037 and 30041, than apply into the LCM equation.

GCF(30037,30041) = 1
LCM(30037,30041) = ( 30037 × 30041) / 1
LCM(30037,30041) = 902341517 / 1
LCM(30037,30041) = 902341517

Least Common Multiple (LCM) of 30037 and 30041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30037 and 30041. First we will calculate the prime factors of 30037 and 30041.

Prime Factorization of 30037

Prime factors of 30037 are 7, 613. Prime factorization of 30037 in exponential form is:

30037 = 72 × 6131

Prime Factorization of 30041

Prime factors of 30041 are 11, 2731. Prime factorization of 30041 in exponential form is:

30041 = 111 × 27311

Now multiplying the highest exponent prime factors to calculate the LCM of 30037 and 30041.

LCM(30037,30041) = 72 × 6131 × 111 × 27311
LCM(30037,30041) = 902341517