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What is the Least Common Multiple of 11088 and 11092?

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 11088 and 11092 is 30747024.

LCM(11088,11092) = 30747024

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Least Common Multiple of 11088 and 11092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11088 and 11092, than apply into the LCM equation.

GCF(11088,11092) = 4
LCM(11088,11092) = ( 11088 × 11092) / 4
LCM(11088,11092) = 122988096 / 4
LCM(11088,11092) = 30747024

Least Common Multiple (LCM) of 11088 and 11092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11088 and 11092. First we will calculate the prime factors of 11088 and 11092.

Prime Factorization of 11088

Prime factors of 11088 are 2, 3, 7, 11. Prime factorization of 11088 in exponential form is:

11088 = 24 × 32 × 71 × 111

Prime Factorization of 11092

Prime factors of 11092 are 2, 47, 59. Prime factorization of 11092 in exponential form is:

11092 = 22 × 471 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 11088 and 11092.

LCM(11088,11092) = 24 × 32 × 71 × 111 × 471 × 591
LCM(11088,11092) = 30747024