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What is the Least Common Multiple of 10249 and 10257?

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 10249 and 10257 is 105123993.

LCM(10249,10257) = 105123993

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Least Common Multiple of 10249 and 10257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10249 and 10257, than apply into the LCM equation.

GCF(10249,10257) = 1
LCM(10249,10257) = ( 10249 × 10257) / 1
LCM(10249,10257) = 105123993 / 1
LCM(10249,10257) = 105123993

Least Common Multiple (LCM) of 10249 and 10257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10249 and 10257. First we will calculate the prime factors of 10249 and 10257.

Prime Factorization of 10249

Prime factors of 10249 are 37, 277. Prime factorization of 10249 in exponential form is:

10249 = 371 × 2771

Prime Factorization of 10257

Prime factors of 10257 are 3, 13, 263. Prime factorization of 10257 in exponential form is:

10257 = 31 × 131 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 10249 and 10257.

LCM(10249,10257) = 371 × 2771 × 31 × 131 × 2631
LCM(10249,10257) = 105123993