# What is the Least Common Multiple of 219 and 229?

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 219 and 229 is 50151.

LCM(219,229) = 50151

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## Least Common Multiple of 219 and 229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 219 and 229, than apply into the LCM equation.

GCF(219,229) = 1
LCM(219,229) = ( 219 × 229) / 1
LCM(219,229) = 50151 / 1
LCM(219,229) = 50151

## Least Common Multiple (LCM) of 219 and 229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 219 and 229. First we will calculate the prime factors of 219 and 229.

### Prime Factorization of 219

Prime factors of 219 are 3, 73. Prime factorization of 219 in exponential form is:

219 = 31 × 731

### Prime Factorization of 229

Prime factors of 229 are 229. Prime factorization of 229 in exponential form is:

229 = 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 219 and 229.

LCM(219,229) = 31 × 731 × 2291
LCM(219,229) = 50151

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