What is the Least Common Multiple of 1044 and 1051?
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 1051 is 1097244.
LCM(1044,1051) = 1097244
Least Common Multiple of 1044 and 1051 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 1051, than apply into the LCM equation.
GCF(1044,1051) = 1
LCM(1044,1051) = ( 1044 × 1051) / 1
LCM(1044,1051) = 1097244 / 1
LCM(1044,1051) = 1097244
Least Common Multiple (LCM) of 1044 and 1051 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1044 and 1051. First we will calculate the prime factors of 1044 and 1051.
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 1051
Prime factors of 1051 are 1051. Prime factorization of 1051 in exponential form is:
1051 = 10511
Now multiplying the highest exponent prime factors to calculate the LCM of 1044 and 1051.
LCM(1044,1051) = 22 × 32 × 291 × 10511
LCM(1044,1051) = 1097244
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