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What is the Least Common Multiple of 1072 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 1072 and 1088 is 72896.

LCM(1072,1088) = 72896

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Least Common Multiple of 1072 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 1072 and 1088, than apply into the LCM equation.

GCF(1072,1088) = 16
LCM(1072,1088) = ( 1072 × 1088) / 16
LCM(1072,1088) = 1166336 / 16
LCM(1072,1088) = 72896

Least Common Multiple (LCM) of 1072 and 1088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1072 and 1088. First we will calculate the prime factors of 1072 and 1088.

Prime Factorization of 1072

Prime factors of 1072 are 2, 67. Prime factorization of 1072 in exponential form is:

1072 = 24 × 671

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 1072 and 1088.

LCM(1072,1088) = 26 × 671 × 171
LCM(1072,1088) = 72896