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What is the Least Common Multiple of 4243 and 4252?

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 4243 and 4252 is 18041236.

LCM(4243,4252) = 18041236

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Least Common Multiple of 4243 and 4252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4243 and 4252, than apply into the LCM equation.

GCF(4243,4252) = 1
LCM(4243,4252) = ( 4243 × 4252) / 1
LCM(4243,4252) = 18041236 / 1
LCM(4243,4252) = 18041236

Least Common Multiple (LCM) of 4243 and 4252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4243 and 4252. First we will calculate the prime factors of 4243 and 4252.

Prime Factorization of 4243

Prime factors of 4243 are 4243. Prime factorization of 4243 in exponential form is:

4243 = 42431

Prime Factorization of 4252

Prime factors of 4252 are 2, 1063. Prime factorization of 4252 in exponential form is:

4252 = 22 × 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 4243 and 4252.

LCM(4243,4252) = 42431 × 22 × 10631
LCM(4243,4252) = 18041236