What is the Least Common Multiple of 1066 and 1080?
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 1066 and 1080 is 575640.
LCM(1066,1080) = 575640
Least Common Multiple of 1066 and 1080 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1066 and 1080, than apply into the LCM equation.
GCF(1066,1080) = 2
LCM(1066,1080) = ( 1066 × 1080) / 2
LCM(1066,1080) = 1151280 / 2
LCM(1066,1080) = 575640
Least Common Multiple (LCM) of 1066 and 1080 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1066 and 1080. First we will calculate the prime factors of 1066 and 1080.
Prime Factorization of 1066
Prime factors of 1066 are 2, 13, 41. Prime factorization of 1066 in exponential form is:
1066 = 21 × 131 × 411
Prime Factorization of 1080
Prime factors of 1080 are 2, 3, 5. Prime factorization of 1080 in exponential form is:
1080 = 23 × 33 × 51
Now multiplying the highest exponent prime factors to calculate the LCM of 1066 and 1080.
LCM(1066,1080) = 23 × 131 × 411 × 33 × 51
LCM(1066,1080) = 575640
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