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What is the Least Common Multiple of 3114 and 3132?

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 3114 and 3132 is 541836.

LCM(3114,3132) = 541836

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Least Common Multiple of 3114 and 3132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3114 and 3132, than apply into the LCM equation.

GCF(3114,3132) = 18
LCM(3114,3132) = ( 3114 × 3132) / 18
LCM(3114,3132) = 9753048 / 18
LCM(3114,3132) = 541836

Least Common Multiple (LCM) of 3114 and 3132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3114 and 3132. First we will calculate the prime factors of 3114 and 3132.

Prime Factorization of 3114

Prime factors of 3114 are 2, 3, 173. Prime factorization of 3114 in exponential form is:

3114 = 21 × 32 × 1731

Prime Factorization of 3132

Prime factors of 3132 are 2, 3, 29. Prime factorization of 3132 in exponential form is:

3132 = 22 × 33 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 3114 and 3132.

LCM(3114,3132) = 22 × 33 × 1731 × 291
LCM(3114,3132) = 541836