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What is the Least Common Multiple of 30514 and 30526?

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 30514 and 30526 is 465735182.

LCM(30514,30526) = 465735182

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Least Common Multiple of 30514 and 30526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30514 and 30526, than apply into the LCM equation.

GCF(30514,30526) = 2
LCM(30514,30526) = ( 30514 × 30526) / 2
LCM(30514,30526) = 931470364 / 2
LCM(30514,30526) = 465735182

Least Common Multiple (LCM) of 30514 and 30526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30514 and 30526. First we will calculate the prime factors of 30514 and 30526.

Prime Factorization of 30514

Prime factors of 30514 are 2, 11, 19, 73. Prime factorization of 30514 in exponential form is:

30514 = 21 × 111 × 191 × 731

Prime Factorization of 30526

Prime factors of 30526 are 2, 15263. Prime factorization of 30526 in exponential form is:

30526 = 21 × 152631

Now multiplying the highest exponent prime factors to calculate the LCM of 30514 and 30526.

LCM(30514,30526) = 21 × 111 × 191 × 731 × 152631
LCM(30514,30526) = 465735182