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What is the Least Common Multiple of 30741 and 30760?

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 30741 and 30760 is 945593160.

LCM(30741,30760) = 945593160

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Least Common Multiple of 30741 and 30760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30741 and 30760, than apply into the LCM equation.

GCF(30741,30760) = 1
LCM(30741,30760) = ( 30741 × 30760) / 1
LCM(30741,30760) = 945593160 / 1
LCM(30741,30760) = 945593160

Least Common Multiple (LCM) of 30741 and 30760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30741 and 30760. First we will calculate the prime factors of 30741 and 30760.

Prime Factorization of 30741

Prime factors of 30741 are 3, 10247. Prime factorization of 30741 in exponential form is:

30741 = 31 × 102471

Prime Factorization of 30760

Prime factors of 30760 are 2, 5, 769. Prime factorization of 30760 in exponential form is:

30760 = 23 × 51 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 30741 and 30760.

LCM(30741,30760) = 31 × 102471 × 23 × 51 × 7691
LCM(30741,30760) = 945593160