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What is the Least Common Multiple of 66352 and 66358?

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 66358 is 2201493008.

LCM(66352,66358) = 2201493008

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Least Common Multiple of 66352 and 66358 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 66358, than apply into the LCM equation.

GCF(66352,66358) = 2
LCM(66352,66358) = ( 66352 × 66358) / 2
LCM(66352,66358) = 4402986016 / 2
LCM(66352,66358) = 2201493008

Least Common Multiple (LCM) of 66352 and 66358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66352 and 66358. First we will calculate the prime factors of 66352 and 66358.

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 66358

Prime factors of 66358 are 2, 33179. Prime factorization of 66358 in exponential form is:

66358 = 21 × 331791

Now multiplying the highest exponent prime factors to calculate the LCM of 66352 and 66358.

LCM(66352,66358) = 24 × 111 × 131 × 291 × 331791
LCM(66352,66358) = 2201493008