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What is the Least Common Multiple of 36209 and 36224?

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 36209 and 36224 is 1311634816.

LCM(36209,36224) = 1311634816

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Least Common Multiple of 36209 and 36224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36209 and 36224, than apply into the LCM equation.

GCF(36209,36224) = 1
LCM(36209,36224) = ( 36209 × 36224) / 1
LCM(36209,36224) = 1311634816 / 1
LCM(36209,36224) = 1311634816

Least Common Multiple (LCM) of 36209 and 36224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36209 and 36224. First we will calculate the prime factors of 36209 and 36224.

Prime Factorization of 36209

Prime factors of 36209 are 36209. Prime factorization of 36209 in exponential form is:

36209 = 362091

Prime Factorization of 36224

Prime factors of 36224 are 2, 283. Prime factorization of 36224 in exponential form is:

36224 = 27 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 36209 and 36224.

LCM(36209,36224) = 362091 × 27 × 2831
LCM(36209,36224) = 1311634816