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What is the Least Common Multiple of 69177 and 69197?

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 69177 and 69197 is 4786840869.

LCM(69177,69197) = 4786840869

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Least Common Multiple of 69177 and 69197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69177 and 69197, than apply into the LCM equation.

GCF(69177,69197) = 1
LCM(69177,69197) = ( 69177 × 69197) / 1
LCM(69177,69197) = 4786840869 / 1
LCM(69177,69197) = 4786840869

Least Common Multiple (LCM) of 69177 and 69197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69177 and 69197. First we will calculate the prime factors of 69177 and 69197.

Prime Factorization of 69177

Prime factors of 69177 are 3, 23059. Prime factorization of 69177 in exponential form is:

69177 = 31 × 230591

Prime Factorization of 69197

Prime factors of 69197 are 69197. Prime factorization of 69197 in exponential form is:

69197 = 691971

Now multiplying the highest exponent prime factors to calculate the LCM of 69177 and 69197.

LCM(69177,69197) = 31 × 230591 × 691971
LCM(69177,69197) = 4786840869