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What is the Least Common Multiple of 16243 and 16252?

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 16243 and 16252 is 263981236.

LCM(16243,16252) = 263981236

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Least Common Multiple of 16243 and 16252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16243 and 16252, than apply into the LCM equation.

GCF(16243,16252) = 1
LCM(16243,16252) = ( 16243 × 16252) / 1
LCM(16243,16252) = 263981236 / 1
LCM(16243,16252) = 263981236

Least Common Multiple (LCM) of 16243 and 16252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16243 and 16252. First we will calculate the prime factors of 16243 and 16252.

Prime Factorization of 16243

Prime factors of 16243 are 37, 439. Prime factorization of 16243 in exponential form is:

16243 = 371 × 4391

Prime Factorization of 16252

Prime factors of 16252 are 2, 17, 239. Prime factorization of 16252 in exponential form is:

16252 = 22 × 171 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 16243 and 16252.

LCM(16243,16252) = 371 × 4391 × 22 × 171 × 2391
LCM(16243,16252) = 263981236