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What is the Least Common Multiple of 10912 and 10916?

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 10912 and 10916 is 29778848.

LCM(10912,10916) = 29778848

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Least Common Multiple of 10912 and 10916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10912 and 10916, than apply into the LCM equation.

GCF(10912,10916) = 4
LCM(10912,10916) = ( 10912 × 10916) / 4
LCM(10912,10916) = 119115392 / 4
LCM(10912,10916) = 29778848

Least Common Multiple (LCM) of 10912 and 10916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10912 and 10916. First we will calculate the prime factors of 10912 and 10916.

Prime Factorization of 10912

Prime factors of 10912 are 2, 11, 31. Prime factorization of 10912 in exponential form is:

10912 = 25 × 111 × 311

Prime Factorization of 10916

Prime factors of 10916 are 2, 2729. Prime factorization of 10916 in exponential form is:

10916 = 22 × 27291

Now multiplying the highest exponent prime factors to calculate the LCM of 10912 and 10916.

LCM(10912,10916) = 25 × 111 × 311 × 27291
LCM(10912,10916) = 29778848