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What is the Least Common Multiple of 1081 and 1088?

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 1081 and 1088 is 1176128.

LCM(1081,1088) = 1176128

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Least Common Multiple of 1081 and 1088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1081 and 1088, than apply into the LCM equation.

GCF(1081,1088) = 1
LCM(1081,1088) = ( 1081 × 1088) / 1
LCM(1081,1088) = 1176128 / 1
LCM(1081,1088) = 1176128

Least Common Multiple (LCM) of 1081 and 1088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1081 and 1088. First we will calculate the prime factors of 1081 and 1088.

Prime Factorization of 1081

Prime factors of 1081 are 23, 47. Prime factorization of 1081 in exponential form is:

1081 = 231 × 471

Prime Factorization of 1088

Prime factors of 1088 are 2, 17. Prime factorization of 1088 in exponential form is:

1088 = 26 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 1081 and 1088.

LCM(1081,1088) = 231 × 471 × 26 × 171
LCM(1081,1088) = 1176128