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What is the Least Common Multiple of 65098 and 65114?

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 65098 and 65114 is 2119395586.

LCM(65098,65114) = 2119395586

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Least Common Multiple of 65098 and 65114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65098 and 65114, than apply into the LCM equation.

GCF(65098,65114) = 2
LCM(65098,65114) = ( 65098 × 65114) / 2
LCM(65098,65114) = 4238791172 / 2
LCM(65098,65114) = 2119395586

Least Common Multiple (LCM) of 65098 and 65114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65098 and 65114. First we will calculate the prime factors of 65098 and 65114.

Prime Factorization of 65098

Prime factors of 65098 are 2, 11, 269. Prime factorization of 65098 in exponential form is:

65098 = 21 × 112 × 2691

Prime Factorization of 65114

Prime factors of 65114 are 2, 7, 4651. Prime factorization of 65114 in exponential form is:

65114 = 21 × 71 × 46511

Now multiplying the highest exponent prime factors to calculate the LCM of 65098 and 65114.

LCM(65098,65114) = 21 × 112 × 2691 × 71 × 46511
LCM(65098,65114) = 2119395586