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What is the Least Common Multiple of 12153 and 12159?

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 12153 and 12159 is 49256109.

LCM(12153,12159) = 49256109

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Least Common Multiple of 12153 and 12159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12153 and 12159, than apply into the LCM equation.

GCF(12153,12159) = 3
LCM(12153,12159) = ( 12153 × 12159) / 3
LCM(12153,12159) = 147768327 / 3
LCM(12153,12159) = 49256109

Least Common Multiple (LCM) of 12153 and 12159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12153 and 12159. First we will calculate the prime factors of 12153 and 12159.

Prime Factorization of 12153

Prime factors of 12153 are 3, 4051. Prime factorization of 12153 in exponential form is:

12153 = 31 × 40511

Prime Factorization of 12159

Prime factors of 12159 are 3, 7, 193. Prime factorization of 12159 in exponential form is:

12159 = 32 × 71 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 12153 and 12159.

LCM(12153,12159) = 32 × 40511 × 71 × 1931
LCM(12153,12159) = 49256109