GCF and LCM Calculator Logo

What is the Least Common Multiple of 155 and 170?

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 170 is 5270.

LCM(155,170) = 5270

LCM Calculator and
and

Least Common Multiple of 155 and 170 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 170, than apply into the LCM equation.

GCF(155,170) = 5
LCM(155,170) = ( 155 × 170) / 5
LCM(155,170) = 26350 / 5
LCM(155,170) = 5270

Least Common Multiple (LCM) of 155 and 170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 155 and 170. First we will calculate the prime factors of 155 and 170.

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 170

Prime factors of 170 are 2, 5, 17. Prime factorization of 170 in exponential form is:

170 = 21 × 51 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 155 and 170.

LCM(155,170) = 51 × 311 × 21 × 171
LCM(155,170) = 5270

Please share your comments