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What is the Least Common Multiple of 10257 and 10274?

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 10257 and 10274 is 105380418.

LCM(10257,10274) = 105380418

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Least Common Multiple of 10257 and 10274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10257 and 10274, than apply into the LCM equation.

GCF(10257,10274) = 1
LCM(10257,10274) = ( 10257 × 10274) / 1
LCM(10257,10274) = 105380418 / 1
LCM(10257,10274) = 105380418

Least Common Multiple (LCM) of 10257 and 10274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10257 and 10274. First we will calculate the prime factors of 10257 and 10274.

Prime Factorization of 10257

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

10257 = 31 × 131 × 2631

Prime Factorization of 10274

Prime factors of 10274 are 2, 11, 467. Prime factorization of 10274 in exponential form is:

10274 = 21 × 111 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 10257 and 10274.

LCM(10257,10274) = 31 × 131 × 2631 × 21 × 111 × 4671
LCM(10257,10274) = 105380418