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What is the Least Common Multiple of 1032 and 1037?

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 1032 and 1037 is 1070184.

LCM(1032,1037) = 1070184

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Least Common Multiple of 1032 and 1037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1032 and 1037, than apply into the LCM equation.

GCF(1032,1037) = 1
LCM(1032,1037) = ( 1032 × 1037) / 1
LCM(1032,1037) = 1070184 / 1
LCM(1032,1037) = 1070184

Least Common Multiple (LCM) of 1032 and 1037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1032 and 1037. First we will calculate the prime factors of 1032 and 1037.

Prime Factorization of 1032

Prime factors of 1032 are 2, 3, 43. Prime factorization of 1032 in exponential form is:

1032 = 23 × 31 × 431

Prime Factorization of 1037

Prime factors of 1037 are 17, 61. Prime factorization of 1037 in exponential form is:

1037 = 171 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 1032 and 1037.

LCM(1032,1037) = 23 × 31 × 431 × 171 × 611
LCM(1032,1037) = 1070184