# What is the Least Common Multiple of 145 and 161?

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 145 and 161 is 23345.

LCM(145,161) = 23345

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## Least Common Multiple of 145 and 161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 145 and 161, than apply into the LCM equation.

GCF(145,161) = 1
LCM(145,161) = ( 145 × 161) / 1
LCM(145,161) = 23345 / 1
LCM(145,161) = 23345

## Least Common Multiple (LCM) of 145 and 161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 145 and 161. First we will calculate the prime factors of 145 and 161.

### Prime Factorization of 145

Prime factors of 145 are 5, 29. Prime factorization of 145 in exponential form is:

145 = 51 × 291

### Prime Factorization of 161

Prime factors of 161 are 7, 23. Prime factorization of 161 in exponential form is:

161 = 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 145 and 161.

LCM(145,161) = 51 × 291 × 71 × 231
LCM(145,161) = 23345