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What is the Least Common Multiple of 11306 and 11319?

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 11306 and 11319 is 127972614.

LCM(11306,11319) = 127972614

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Least Common Multiple of 11306 and 11319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11306 and 11319, than apply into the LCM equation.

GCF(11306,11319) = 1
LCM(11306,11319) = ( 11306 × 11319) / 1
LCM(11306,11319) = 127972614 / 1
LCM(11306,11319) = 127972614

Least Common Multiple (LCM) of 11306 and 11319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11306 and 11319. First we will calculate the prime factors of 11306 and 11319.

Prime Factorization of 11306

Prime factors of 11306 are 2, 5653. Prime factorization of 11306 in exponential form is:

11306 = 21 × 56531

Prime Factorization of 11319

Prime factors of 11319 are 3, 7, 11. Prime factorization of 11319 in exponential form is:

11319 = 31 × 73 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 11306 and 11319.

LCM(11306,11319) = 21 × 56531 × 31 × 73 × 111
LCM(11306,11319) = 127972614