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What is the Least Common Multiple of 229 and 236?

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 229 and 236 is 54044.

LCM(229,236) = 54044

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Least Common Multiple of 229 and 236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 229 and 236, than apply into the LCM equation.

GCF(229,236) = 1
LCM(229,236) = ( 229 × 236) / 1
LCM(229,236) = 54044 / 1
LCM(229,236) = 54044

Least Common Multiple (LCM) of 229 and 236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 229 and 236. First we will calculate the prime factors of 229 and 236.

Prime Factorization of 229

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

229 = 2291

Prime Factorization of 236

Prime factors of 236 are 2, 59. Prime factorization of 236 in exponential form is:

236 = 22 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 229 and 236.

LCM(229,236) = 2291 × 22 × 591
LCM(229,236) = 54044

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