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What is the Least Common Multiple of 69277 and 69296?

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 69277 and 69296 is 4800618992.

LCM(69277,69296) = 4800618992

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Least Common Multiple of 69277 and 69296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69277 and 69296, than apply into the LCM equation.

GCF(69277,69296) = 1
LCM(69277,69296) = ( 69277 × 69296) / 1
LCM(69277,69296) = 4800618992 / 1
LCM(69277,69296) = 4800618992

Least Common Multiple (LCM) of 69277 and 69296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69277 and 69296. First we will calculate the prime factors of 69277 and 69296.

Prime Factorization of 69277

Prime factors of 69277 are 13, 73. Prime factorization of 69277 in exponential form is:

69277 = 131 × 732

Prime Factorization of 69296

Prime factors of 69296 are 2, 61, 71. Prime factorization of 69296 in exponential form is:

69296 = 24 × 611 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 69277 and 69296.

LCM(69277,69296) = 131 × 732 × 24 × 611 × 711
LCM(69277,69296) = 4800618992