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What is the Least Common Multiple of 1059 and 1072?

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 1059 and 1072 is 1135248.

LCM(1059,1072) = 1135248

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Least Common Multiple of 1059 and 1072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1059 and 1072, than apply into the LCM equation.

GCF(1059,1072) = 1
LCM(1059,1072) = ( 1059 × 1072) / 1
LCM(1059,1072) = 1135248 / 1
LCM(1059,1072) = 1135248

Least Common Multiple (LCM) of 1059 and 1072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1059 and 1072. First we will calculate the prime factors of 1059 and 1072.

Prime Factorization of 1059

Prime factors of 1059 are 3, 353. Prime factorization of 1059 in exponential form is:

1059 = 31 × 3531

Prime Factorization of 1072

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

1072 = 24 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 1059 and 1072.

LCM(1059,1072) = 31 × 3531 × 24 × 671
LCM(1059,1072) = 1135248