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What is the Least Common Multiple of 155 and 172?

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 172 is 26660.

LCM(155,172) = 26660

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Least Common Multiple of 155 and 172 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 172, than apply into the LCM equation.

GCF(155,172) = 1
LCM(155,172) = ( 155 × 172) / 1
LCM(155,172) = 26660 / 1
LCM(155,172) = 26660

Least Common Multiple (LCM) of 155 and 172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 155 and 172. First we will calculate the prime factors of 155 and 172.

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 172

Prime factors of 172 are 2, 43. Prime factorization of 172 in exponential form is:

172 = 22 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 155 and 172.

LCM(155,172) = 51 × 311 × 22 × 431
LCM(155,172) = 26660

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