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What is the Least Common Multiple of 66339 and 66352?

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 66339 and 66352 is 338594256.

LCM(66339,66352) = 338594256

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Least Common Multiple of 66339 and 66352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66339 and 66352, than apply into the LCM equation.

GCF(66339,66352) = 13
LCM(66339,66352) = ( 66339 × 66352) / 13
LCM(66339,66352) = 4401725328 / 13
LCM(66339,66352) = 338594256

Least Common Multiple (LCM) of 66339 and 66352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66339 and 66352. First we will calculate the prime factors of 66339 and 66352.

Prime Factorization of 66339

Prime factors of 66339 are 3, 7, 13. Prime factorization of 66339 in exponential form is:

66339 = 36 × 71 × 131

Prime Factorization of 66352

Prime factors of 66352 are 2, 11, 13, 29. Prime factorization of 66352 in exponential form is:

66352 = 24 × 111 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 66339 and 66352.

LCM(66339,66352) = 36 × 71 × 131 × 24 × 111 × 291
LCM(66339,66352) = 338594256