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What is the Least Common Multiple of 11306 and 11312?

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 11312 is 63946736.

LCM(11306,11312) = 63946736

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Least Common Multiple of 11306 and 11312 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 11312, than apply into the LCM equation.

GCF(11306,11312) = 2
LCM(11306,11312) = ( 11306 × 11312) / 2
LCM(11306,11312) = 127893472 / 2
LCM(11306,11312) = 63946736

Least Common Multiple (LCM) of 11306 and 11312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11306 and 11312. First we will calculate the prime factors of 11306 and 11312.

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 11312

Prime factors of 11312 are 2, 7, 101. Prime factorization of 11312 in exponential form is:

11312 = 24 × 71 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 11306 and 11312.

LCM(11306,11312) = 24 × 56531 × 71 × 1011
LCM(11306,11312) = 63946736