What is the Least Common Multiple of 1069 and 1088?
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 1069 and 1088 is 1163072.
LCM(1069,1088) = 1163072
Least Common Multiple of 1069 and 1088 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1069 and 1088, than apply into the LCM equation.
GCF(1069,1088) = 1
LCM(1069,1088) = ( 1069 × 1088) / 1
LCM(1069,1088) = 1163072 / 1
LCM(1069,1088) = 1163072
Least Common Multiple (LCM) of 1069 and 1088 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1069 and 1088. First we will calculate the prime factors of 1069 and 1088.
Prime Factorization of 1069
Prime factors of 1069 are 1069. Prime factorization of 1069 in exponential form is:
1069 = 10691
Prime Factorization of 1088
Prime factors of 1088 are 2, 17. Prime factorization of 1088 in exponential form is:
1088 = 26 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 1069 and 1088.
LCM(1069,1088) = 10691 × 26 × 171
LCM(1069,1088) = 1163072
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