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What is the Least Common Multiple of 12098 and 12103?

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 12103 is 146422094.

LCM(12098,12103) = 146422094

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Least Common Multiple of 12098 and 12103 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 12103, than apply into the LCM equation.

GCF(12098,12103) = 1
LCM(12098,12103) = ( 12098 × 12103) / 1
LCM(12098,12103) = 146422094 / 1
LCM(12098,12103) = 146422094

Least Common Multiple (LCM) of 12098 and 12103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12098 and 12103. First we will calculate the prime factors of 12098 and 12103.

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 12103

Prime factors of 12103 are 7, 13, 19. Prime factorization of 12103 in exponential form is:

12103 = 72 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 12098 and 12103.

LCM(12098,12103) = 21 × 231 × 2631 × 72 × 131 × 191
LCM(12098,12103) = 146422094