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What is the Least Common Multiple of 66878 and 66884?

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 66878 and 66884 is 2236534076.

LCM(66878,66884) = 2236534076

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Least Common Multiple of 66878 and 66884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66878 and 66884, than apply into the LCM equation.

GCF(66878,66884) = 2
LCM(66878,66884) = ( 66878 × 66884) / 2
LCM(66878,66884) = 4473068152 / 2
LCM(66878,66884) = 2236534076

Least Common Multiple (LCM) of 66878 and 66884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66878 and 66884. First we will calculate the prime factors of 66878 and 66884.

Prime Factorization of 66878

Prime factors of 66878 are 2, 7, 17, 281. Prime factorization of 66878 in exponential form is:

66878 = 21 × 71 × 171 × 2811

Prime Factorization of 66884

Prime factors of 66884 are 2, 23, 727. Prime factorization of 66884 in exponential form is:

66884 = 22 × 231 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 66878 and 66884.

LCM(66878,66884) = 22 × 71 × 171 × 2811 × 231 × 7271
LCM(66878,66884) = 2236534076