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What is the Least Common Multiple of 52930 and 52945?

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 52930 and 52945 is 560475770.

LCM(52930,52945) = 560475770

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Least Common Multiple of 52930 and 52945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52930 and 52945, than apply into the LCM equation.

GCF(52930,52945) = 5
LCM(52930,52945) = ( 52930 × 52945) / 5
LCM(52930,52945) = 2802378850 / 5
LCM(52930,52945) = 560475770

Least Common Multiple (LCM) of 52930 and 52945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52930 and 52945. First we will calculate the prime factors of 52930 and 52945.

Prime Factorization of 52930

Prime factors of 52930 are 2, 5, 67, 79. Prime factorization of 52930 in exponential form is:

52930 = 21 × 51 × 671 × 791

Prime Factorization of 52945

Prime factors of 52945 are 5, 10589. Prime factorization of 52945 in exponential form is:

52945 = 51 × 105891

Now multiplying the highest exponent prime factors to calculate the LCM of 52930 and 52945.

LCM(52930,52945) = 21 × 51 × 671 × 791 × 105891
LCM(52930,52945) = 560475770