What is the Least Common Multiple of 1044 and 1048?
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 1048 is 273528.
LCM(1044,1048) = 273528
Least Common Multiple of 1044 and 1048 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 1048, than apply into the LCM equation.
GCF(1044,1048) = 4
LCM(1044,1048) = ( 1044 × 1048) / 4
LCM(1044,1048) = 1094112 / 4
LCM(1044,1048) = 273528
Least Common Multiple (LCM) of 1044 and 1048 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1044 and 1048. First we will calculate the prime factors of 1044 and 1048.
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 1048
Prime factors of 1048 are 2, 131. Prime factorization of 1048 in exponential form is:
1048 = 23 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 1044 and 1048.
LCM(1044,1048) = 23 × 32 × 291 × 1311
LCM(1044,1048) = 273528
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