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What is the Least Common Multiple of 27179 and 27198?

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 27179 and 27198 is 739214442.

LCM(27179,27198) = 739214442

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Least Common Multiple of 27179 and 27198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27179 and 27198, than apply into the LCM equation.

GCF(27179,27198) = 1
LCM(27179,27198) = ( 27179 × 27198) / 1
LCM(27179,27198) = 739214442 / 1
LCM(27179,27198) = 739214442

Least Common Multiple (LCM) of 27179 and 27198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27179 and 27198. First we will calculate the prime factors of 27179 and 27198.

Prime Factorization of 27179

Prime factors of 27179 are 27179. Prime factorization of 27179 in exponential form is:

27179 = 271791

Prime Factorization of 27198

Prime factors of 27198 are 2, 3, 1511. Prime factorization of 27198 in exponential form is:

27198 = 21 × 32 × 15111

Now multiplying the highest exponent prime factors to calculate the LCM of 27179 and 27198.

LCM(27179,27198) = 271791 × 21 × 32 × 15111
LCM(27179,27198) = 739214442