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What is the Least Common Multiple of 53933 and 53943?

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 53933 and 53943 is 2909307819.

LCM(53933,53943) = 2909307819

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Least Common Multiple of 53933 and 53943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53933 and 53943, than apply into the LCM equation.

GCF(53933,53943) = 1
LCM(53933,53943) = ( 53933 × 53943) / 1
LCM(53933,53943) = 2909307819 / 1
LCM(53933,53943) = 2909307819

Least Common Multiple (LCM) of 53933 and 53943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53933 and 53943. First we will calculate the prime factors of 53933 and 53943.

Prime Factorization of 53933

Prime factors of 53933 are 11, 4903. Prime factorization of 53933 in exponential form is:

53933 = 111 × 49031

Prime Factorization of 53943

Prime factors of 53943 are 3, 17981. Prime factorization of 53943 in exponential form is:

53943 = 31 × 179811

Now multiplying the highest exponent prime factors to calculate the LCM of 53933 and 53943.

LCM(53933,53943) = 111 × 49031 × 31 × 179811
LCM(53933,53943) = 2909307819