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What is the Least Common Multiple of 1048 and 1059?

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 1048 and 1059 is 1109832.

LCM(1048,1059) = 1109832

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Least Common Multiple of 1048 and 1059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1048 and 1059, than apply into the LCM equation.

GCF(1048,1059) = 1
LCM(1048,1059) = ( 1048 × 1059) / 1
LCM(1048,1059) = 1109832 / 1
LCM(1048,1059) = 1109832

Least Common Multiple (LCM) of 1048 and 1059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1048 and 1059. First we will calculate the prime factors of 1048 and 1059.

Prime Factorization of 1048

Prime factors of 1048 are 2, 131. Prime factorization of 1048 in exponential form is:

1048 = 23 × 1311

Prime Factorization of 1059

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

1059 = 31 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 1048 and 1059.

LCM(1048,1059) = 23 × 1311 × 31 × 3531
LCM(1048,1059) = 1109832