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What is the Least Common Multiple of 66923 and 66935?

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 66923 and 66935 is 4479491005.

LCM(66923,66935) = 4479491005

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Least Common Multiple of 66923 and 66935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66923 and 66935, than apply into the LCM equation.

GCF(66923,66935) = 1
LCM(66923,66935) = ( 66923 × 66935) / 1
LCM(66923,66935) = 4479491005 / 1
LCM(66923,66935) = 4479491005

Least Common Multiple (LCM) of 66923 and 66935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66923 and 66935. First we will calculate the prime factors of 66923 and 66935.

Prime Factorization of 66923

Prime factors of 66923 are 66923. Prime factorization of 66923 in exponential form is:

66923 = 669231

Prime Factorization of 66935

Prime factors of 66935 are 5, 11, 1217. Prime factorization of 66935 in exponential form is:

66935 = 51 × 111 × 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 66923 and 66935.

LCM(66923,66935) = 669231 × 51 × 111 × 12171
LCM(66923,66935) = 4479491005