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What is the Least Common Multiple of 12098 and 12114?

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 12098 and 12114 is 73277586.

LCM(12098,12114) = 73277586

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Least Common Multiple of 12098 and 12114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12098 and 12114, than apply into the LCM equation.

GCF(12098,12114) = 2
LCM(12098,12114) = ( 12098 × 12114) / 2
LCM(12098,12114) = 146555172 / 2
LCM(12098,12114) = 73277586

Least Common Multiple (LCM) of 12098 and 12114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12098 and 12114. First we will calculate the prime factors of 12098 and 12114.

Prime Factorization of 12098

Prime factors of 12098 are 2, 23, 263. Prime factorization of 12098 in exponential form is:

12098 = 21 × 231 × 2631

Prime Factorization of 12114

Prime factors of 12114 are 2, 3, 673. Prime factorization of 12114 in exponential form is:

12114 = 21 × 32 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 12098 and 12114.

LCM(12098,12114) = 21 × 231 × 2631 × 32 × 6731
LCM(12098,12114) = 73277586