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What is the Least Common Multiple of 155 and 174?

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 155 and 174 is 26970.

LCM(155,174) = 26970

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Least Common Multiple of 155 and 174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 155 and 174, than apply into the LCM equation.

GCF(155,174) = 1
LCM(155,174) = ( 155 × 174) / 1
LCM(155,174) = 26970 / 1
LCM(155,174) = 26970

Least Common Multiple (LCM) of 155 and 174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 155 and 174. First we will calculate the prime factors of 155 and 174.

Prime Factorization of 155

Prime factors of 155 are 5, 31. Prime factorization of 155 in exponential form is:

155 = 51 × 311

Prime Factorization of 174

Prime factors of 174 are 2, 3, 29. Prime factorization of 174 in exponential form is:

174 = 21 × 31 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 155 and 174.

LCM(155,174) = 51 × 311 × 21 × 31 × 291
LCM(155,174) = 26970

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