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What is the Least Common Multiple of 1044 and 1055?

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 1044 and 1055 is 1101420.

LCM(1044,1055) = 1101420

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Least Common Multiple of 1044 and 1055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1044 and 1055, than apply into the LCM equation.

GCF(1044,1055) = 1
LCM(1044,1055) = ( 1044 × 1055) / 1
LCM(1044,1055) = 1101420 / 1
LCM(1044,1055) = 1101420

Least Common Multiple (LCM) of 1044 and 1055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1044 and 1055. First we will calculate the prime factors of 1044 and 1055.

Prime Factorization of 1044

Prime factors of 1044 are 2, 3, 29. Prime factorization of 1044 in exponential form is:

1044 = 22 × 32 × 291

Prime Factorization of 1055

Prime factors of 1055 are 5, 211. Prime factorization of 1055 in exponential form is:

1055 = 51 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 1044 and 1055.

LCM(1044,1055) = 22 × 32 × 291 × 51 × 2111
LCM(1044,1055) = 1101420