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What is the Least Common Multiple of 66352 and 66367?

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 66367 is 4403583184.

LCM(66352,66367) = 4403583184

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Least Common Multiple of 66352 and 66367 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 66367, than apply into the LCM equation.

GCF(66352,66367) = 1
LCM(66352,66367) = ( 66352 × 66367) / 1
LCM(66352,66367) = 4403583184 / 1
LCM(66352,66367) = 4403583184

Least Common Multiple (LCM) of 66352 and 66367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66352 and 66367. First we will calculate the prime factors of 66352 and 66367.

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 66367

Prime factors of 66367 are 7, 19, 499. Prime factorization of 66367 in exponential form is:

66367 = 71 × 191 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 66352 and 66367.

LCM(66352,66367) = 24 × 111 × 131 × 291 × 71 × 191 × 4991
LCM(66352,66367) = 4403583184