What is the Least Common Multiple of 1040 and 1047?
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 1040 and 1047 is 1088880.
LCM(1040,1047) = 1088880
Least Common Multiple of 1040 and 1047 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1040 and 1047, than apply into the LCM equation.
GCF(1040,1047) = 1
LCM(1040,1047) = ( 1040 × 1047) / 1
LCM(1040,1047) = 1088880 / 1
LCM(1040,1047) = 1088880
Least Common Multiple (LCM) of 1040 and 1047 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1040 and 1047. First we will calculate the prime factors of 1040 and 1047.
Prime Factorization of 1040
Prime factors of 1040 are 2, 5, 13. Prime factorization of 1040 in exponential form is:
1040 = 24 × 51 × 131
Prime Factorization of 1047
Prime factors of 1047 are 3, 349. Prime factorization of 1047 in exponential form is:
1047 = 31 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 1040 and 1047.
LCM(1040,1047) = 24 × 51 × 131 × 31 × 3491
LCM(1040,1047) = 1088880
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