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What is the Least Common Multiple of 77266 and 77281?

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 77266 and 77281 is 5971193746.

LCM(77266,77281) = 5971193746

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Least Common Multiple of 77266 and 77281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77266 and 77281, than apply into the LCM equation.

GCF(77266,77281) = 1
LCM(77266,77281) = ( 77266 × 77281) / 1
LCM(77266,77281) = 5971193746 / 1
LCM(77266,77281) = 5971193746

Least Common Multiple (LCM) of 77266 and 77281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77266 and 77281. First we will calculate the prime factors of 77266 and 77281.

Prime Factorization of 77266

Prime factors of 77266 are 2, 7, 5519. Prime factorization of 77266 in exponential form is:

77266 = 21 × 71 × 55191

Prime Factorization of 77281

Prime factors of 77281 are 109, 709. Prime factorization of 77281 in exponential form is:

77281 = 1091 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 77266 and 77281.

LCM(77266,77281) = 21 × 71 × 55191 × 1091 × 7091
LCM(77266,77281) = 5971193746