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What is the Least Common Multiple of 66177 and 66197?

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 66177 and 66197 is 4380718869.

LCM(66177,66197) = 4380718869

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Least Common Multiple of 66177 and 66197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66177 and 66197, than apply into the LCM equation.

GCF(66177,66197) = 1
LCM(66177,66197) = ( 66177 × 66197) / 1
LCM(66177,66197) = 4380718869 / 1
LCM(66177,66197) = 4380718869

Least Common Multiple (LCM) of 66177 and 66197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66177 and 66197. First we will calculate the prime factors of 66177 and 66197.

Prime Factorization of 66177

Prime factors of 66177 are 3, 19, 43. Prime factorization of 66177 in exponential form is:

66177 = 34 × 191 × 431

Prime Factorization of 66197

Prime factors of 66197 are 53, 1249. Prime factorization of 66197 in exponential form is:

66197 = 531 × 12491

Now multiplying the highest exponent prime factors to calculate the LCM of 66177 and 66197.

LCM(66177,66197) = 34 × 191 × 431 × 531 × 12491
LCM(66177,66197) = 4380718869