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What is the Least Common Multiple of 30243 and 30260?

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 30243 and 30260 is 53832540.

LCM(30243,30260) = 53832540

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Least Common Multiple of 30243 and 30260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30243 and 30260, than apply into the LCM equation.

GCF(30243,30260) = 17
LCM(30243,30260) = ( 30243 × 30260) / 17
LCM(30243,30260) = 915153180 / 17
LCM(30243,30260) = 53832540

Least Common Multiple (LCM) of 30243 and 30260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30243 and 30260. First we will calculate the prime factors of 30243 and 30260.

Prime Factorization of 30243

Prime factors of 30243 are 3, 17, 593. Prime factorization of 30243 in exponential form is:

30243 = 31 × 171 × 5931

Prime Factorization of 30260

Prime factors of 30260 are 2, 5, 17, 89. Prime factorization of 30260 in exponential form is:

30260 = 22 × 51 × 171 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 30243 and 30260.

LCM(30243,30260) = 31 × 171 × 5931 × 22 × 51 × 891
LCM(30243,30260) = 53832540