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What is the Least Common Multiple of 6243 and 6263?

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 6243 and 6263 is 39099909.

LCM(6243,6263) = 39099909

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Least Common Multiple of 6243 and 6263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6243 and 6263, than apply into the LCM equation.

GCF(6243,6263) = 1
LCM(6243,6263) = ( 6243 × 6263) / 1
LCM(6243,6263) = 39099909 / 1
LCM(6243,6263) = 39099909

Least Common Multiple (LCM) of 6243 and 6263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6243 and 6263. First we will calculate the prime factors of 6243 and 6263.

Prime Factorization of 6243

Prime factors of 6243 are 3, 2081. Prime factorization of 6243 in exponential form is:

6243 = 31 × 20811

Prime Factorization of 6263

Prime factors of 6263 are 6263. Prime factorization of 6263 in exponential form is:

6263 = 62631

Now multiplying the highest exponent prime factors to calculate the LCM of 6243 and 6263.

LCM(6243,6263) = 31 × 20811 × 62631
LCM(6243,6263) = 39099909