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What is the Least Common Multiple of 77281 and 77298?

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 77281 and 77298 is 5973666738.

LCM(77281,77298) = 5973666738

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Least Common Multiple of 77281 and 77298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77281 and 77298, than apply into the LCM equation.

GCF(77281,77298) = 1
LCM(77281,77298) = ( 77281 × 77298) / 1
LCM(77281,77298) = 5973666738 / 1
LCM(77281,77298) = 5973666738

Least Common Multiple (LCM) of 77281 and 77298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77281 and 77298. First we will calculate the prime factors of 77281 and 77298.

Prime Factorization of 77281

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

77281 = 1091 × 7091

Prime Factorization of 77298

Prime factors of 77298 are 2, 3, 13, 991. Prime factorization of 77298 in exponential form is:

77298 = 21 × 31 × 131 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 77281 and 77298.

LCM(77281,77298) = 1091 × 7091 × 21 × 31 × 131 × 9911
LCM(77281,77298) = 5973666738