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What is the Least Common Multiple of 66352 and 66371?

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 66352 and 66371 is 4403848592.

LCM(66352,66371) = 4403848592

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Least Common Multiple of 66352 and 66371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66352 and 66371, than apply into the LCM equation.

GCF(66352,66371) = 1
LCM(66352,66371) = ( 66352 × 66371) / 1
LCM(66352,66371) = 4403848592 / 1
LCM(66352,66371) = 4403848592

Least Common Multiple (LCM) of 66352 and 66371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66352 and 66371. First we will calculate the prime factors of 66352 and 66371.

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

Prime Factorization of 66371

Prime factors of 66371 are 31, 2141. Prime factorization of 66371 in exponential form is:

66371 = 311 × 21411

Now multiplying the highest exponent prime factors to calculate the LCM of 66352 and 66371.

LCM(66352,66371) = 24 × 111 × 131 × 291 × 311 × 21411
LCM(66352,66371) = 4403848592