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What is the Least Common Multiple of 30645 and 30652?

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 30645 and 30652 is 939330540.

LCM(30645,30652) = 939330540

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Least Common Multiple of 30645 and 30652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30645 and 30652, than apply into the LCM equation.

GCF(30645,30652) = 1
LCM(30645,30652) = ( 30645 × 30652) / 1
LCM(30645,30652) = 939330540 / 1
LCM(30645,30652) = 939330540

Least Common Multiple (LCM) of 30645 and 30652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30645 and 30652. First we will calculate the prime factors of 30645 and 30652.

Prime Factorization of 30645

Prime factors of 30645 are 3, 5, 227. Prime factorization of 30645 in exponential form is:

30645 = 33 × 51 × 2271

Prime Factorization of 30652

Prime factors of 30652 are 2, 79, 97. Prime factorization of 30652 in exponential form is:

30652 = 22 × 791 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 30645 and 30652.

LCM(30645,30652) = 33 × 51 × 2271 × 22 × 791 × 971
LCM(30645,30652) = 939330540