# What is the Least Common Multiple of 145 and 150?

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 150 is 4350.

LCM(145,150) = 4350

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## Least Common Multiple of 145 and 150 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 150, than apply into the LCM equation.

GCF(145,150) = 5
LCM(145,150) = ( 145 × 150) / 5
LCM(145,150) = 21750 / 5
LCM(145,150) = 4350

## Least Common Multiple (LCM) of 145 and 150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 145 and 150. First we will calculate the prime factors of 145 and 150.

### 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 150

Prime factors of 150 are 2, 3, 5. Prime factorization of 150 in exponential form is:

150 = 21 × 31 × 52

Now multiplying the highest exponent prime factors to calculate the LCM of 145 and 150.

LCM(145,150) = 52 × 291 × 21 × 31
LCM(145,150) = 4350