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What is the Least Common Multiple of 66352 and 66356?

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 66356 is 1100713328.

LCM(66352,66356) = 1100713328

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Least Common Multiple of 66352 and 66356 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 66356, than apply into the LCM equation.

GCF(66352,66356) = 4
LCM(66352,66356) = ( 66352 × 66356) / 4
LCM(66352,66356) = 4402853312 / 4
LCM(66352,66356) = 1100713328

Least Common Multiple (LCM) of 66352 and 66356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66352 and 66356. First we will calculate the prime factors of 66352 and 66356.

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 66356

Prime factors of 66356 are 2, 53, 313. Prime factorization of 66356 in exponential form is:

66356 = 22 × 531 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 66352 and 66356.

LCM(66352,66356) = 24 × 111 × 131 × 291 × 531 × 3131
LCM(66352,66356) = 1100713328