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What is the Least Common Multiple of 11034 and 11038?

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 11034 and 11038 is 60896646.

LCM(11034,11038) = 60896646

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Least Common Multiple of 11034 and 11038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11034 and 11038, than apply into the LCM equation.

GCF(11034,11038) = 2
LCM(11034,11038) = ( 11034 × 11038) / 2
LCM(11034,11038) = 121793292 / 2
LCM(11034,11038) = 60896646

Least Common Multiple (LCM) of 11034 and 11038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11034 and 11038. First we will calculate the prime factors of 11034 and 11038.

Prime Factorization of 11034

Prime factors of 11034 are 2, 3, 613. Prime factorization of 11034 in exponential form is:

11034 = 21 × 32 × 6131

Prime Factorization of 11038

Prime factors of 11038 are 2, 5519. Prime factorization of 11038 in exponential form is:

11038 = 21 × 55191

Now multiplying the highest exponent prime factors to calculate the LCM of 11034 and 11038.

LCM(11034,11038) = 21 × 32 × 6131 × 55191
LCM(11034,11038) = 60896646