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What is the Least Common Multiple of 52339 and 52347?

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 52339 and 52347 is 2739789633.

LCM(52339,52347) = 2739789633

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Least Common Multiple of 52339 and 52347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52339 and 52347, than apply into the LCM equation.

GCF(52339,52347) = 1
LCM(52339,52347) = ( 52339 × 52347) / 1
LCM(52339,52347) = 2739789633 / 1
LCM(52339,52347) = 2739789633

Least Common Multiple (LCM) of 52339 and 52347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52339 and 52347. First we will calculate the prime factors of 52339 and 52347.

Prime Factorization of 52339

Prime factors of 52339 are 7, 7477. Prime factorization of 52339 in exponential form is:

52339 = 71 × 74771

Prime Factorization of 52347

Prime factors of 52347 are 3, 17449. Prime factorization of 52347 in exponential form is:

52347 = 31 × 174491

Now multiplying the highest exponent prime factors to calculate the LCM of 52339 and 52347.

LCM(52339,52347) = 71 × 74771 × 31 × 174491
LCM(52339,52347) = 2739789633