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What is the Least Common Multiple of 66885 and 66896?

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 66885 and 66896 is 4474338960.

LCM(66885,66896) = 4474338960

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Least Common Multiple of 66885 and 66896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66885 and 66896, than apply into the LCM equation.

GCF(66885,66896) = 1
LCM(66885,66896) = ( 66885 × 66896) / 1
LCM(66885,66896) = 4474338960 / 1
LCM(66885,66896) = 4474338960

Least Common Multiple (LCM) of 66885 and 66896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66885 and 66896. First we will calculate the prime factors of 66885 and 66896.

Prime Factorization of 66885

Prime factors of 66885 are 3, 5, 7, 13. Prime factorization of 66885 in exponential form is:

66885 = 31 × 51 × 73 × 131

Prime Factorization of 66896

Prime factors of 66896 are 2, 37, 113. Prime factorization of 66896 in exponential form is:

66896 = 24 × 371 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 66885 and 66896.

LCM(66885,66896) = 31 × 51 × 73 × 131 × 24 × 371 × 1131
LCM(66885,66896) = 4474338960