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What is the Least Common Multiple of 30726 and 30734?

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 30726 and 30734 is 472166442.

LCM(30726,30734) = 472166442

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Least Common Multiple of 30726 and 30734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30726 and 30734, than apply into the LCM equation.

GCF(30726,30734) = 2
LCM(30726,30734) = ( 30726 × 30734) / 2
LCM(30726,30734) = 944332884 / 2
LCM(30726,30734) = 472166442

Least Common Multiple (LCM) of 30726 and 30734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30726 and 30734. First we will calculate the prime factors of 30726 and 30734.

Prime Factorization of 30726

Prime factors of 30726 are 2, 3, 569. Prime factorization of 30726 in exponential form is:

30726 = 21 × 33 × 5691

Prime Factorization of 30734

Prime factors of 30734 are 2, 11, 127. Prime factorization of 30734 in exponential form is:

30734 = 21 × 112 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 30726 and 30734.

LCM(30726,30734) = 21 × 33 × 5691 × 112 × 1271
LCM(30726,30734) = 472166442