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What is the Least Common Multiple of 12176 and 12194?

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 12176 and 12194 is 74237072.

LCM(12176,12194) = 74237072

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Least Common Multiple of 12176 and 12194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12176 and 12194, than apply into the LCM equation.

GCF(12176,12194) = 2
LCM(12176,12194) = ( 12176 × 12194) / 2
LCM(12176,12194) = 148474144 / 2
LCM(12176,12194) = 74237072

Least Common Multiple (LCM) of 12176 and 12194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12176 and 12194. First we will calculate the prime factors of 12176 and 12194.

Prime Factorization of 12176

Prime factors of 12176 are 2, 761. Prime factorization of 12176 in exponential form is:

12176 = 24 × 7611

Prime Factorization of 12194

Prime factors of 12194 are 2, 7, 13, 67. Prime factorization of 12194 in exponential form is:

12194 = 21 × 71 × 131 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 12176 and 12194.

LCM(12176,12194) = 24 × 7611 × 71 × 131 × 671
LCM(12176,12194) = 74237072