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What is the Least Common Multiple of 1072 and 1089?

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 1089 is 1167408.

LCM(1072,1089) = 1167408

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Least Common Multiple of 1072 and 1089 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 1089, than apply into the LCM equation.

GCF(1072,1089) = 1
LCM(1072,1089) = ( 1072 × 1089) / 1
LCM(1072,1089) = 1167408 / 1
LCM(1072,1089) = 1167408

Least Common Multiple (LCM) of 1072 and 1089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1072 and 1089. First we will calculate the prime factors of 1072 and 1089.

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 1089

Prime factors of 1089 are 3, 11. Prime factorization of 1089 in exponential form is:

1089 = 32 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 1072 and 1089.

LCM(1072,1089) = 24 × 671 × 32 × 112
LCM(1072,1089) = 1167408