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What is the Least Common Multiple of 11245 and 11261?

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 11261 is 126629945.

LCM(11245,11261) = 126629945

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Least Common Multiple of 11245 and 11261 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 11261, than apply into the LCM equation.

GCF(11245,11261) = 1
LCM(11245,11261) = ( 11245 × 11261) / 1
LCM(11245,11261) = 126629945 / 1
LCM(11245,11261) = 126629945

Least Common Multiple (LCM) of 11245 and 11261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11245 and 11261. First we will calculate the prime factors of 11245 and 11261.

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 11261

Prime factors of 11261 are 11261. Prime factorization of 11261 in exponential form is:

11261 = 112611

Now multiplying the highest exponent prime factors to calculate the LCM of 11245 and 11261.

LCM(11245,11261) = 51 × 131 × 1731 × 112611
LCM(11245,11261) = 126629945