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What is the Least Common Multiple of 11245 and 11258?

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 11245 and 11258 is 9738170.

LCM(11245,11258) = 9738170

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Least Common Multiple of 11245 and 11258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11245 and 11258, than apply into the LCM equation.

GCF(11245,11258) = 13
LCM(11245,11258) = ( 11245 × 11258) / 13
LCM(11245,11258) = 126596210 / 13
LCM(11245,11258) = 9738170

Least Common Multiple (LCM) of 11245 and 11258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11245 and 11258. First we will calculate the prime factors of 11245 and 11258.

Prime Factorization of 11245

Prime factors of 11245 are 5, 13, 173. Prime factorization of 11245 in exponential form is:

11245 = 51 × 131 × 1731

Prime Factorization of 11258

Prime factors of 11258 are 2, 13, 433. Prime factorization of 11258 in exponential form is:

11258 = 21 × 131 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 11245 and 11258.

LCM(11245,11258) = 51 × 131 × 1731 × 21 × 4331
LCM(11245,11258) = 9738170