What is the Least Common Multiple of 1047 and 1067?
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 1047 and 1067 is 1117149.
LCM(1047,1067) = 1117149
Least Common Multiple of 1047 and 1067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1047 and 1067, than apply into the LCM equation.
GCF(1047,1067) = 1
LCM(1047,1067) = ( 1047 × 1067) / 1
LCM(1047,1067) = 1117149 / 1
LCM(1047,1067) = 1117149
Least Common Multiple (LCM) of 1047 and 1067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1047 and 1067. First we will calculate the prime factors of 1047 and 1067.
Prime Factorization of 1047
Prime factors of 1047 are 3, 349. Prime factorization of 1047 in exponential form is:
1047 = 31 × 3491
Prime Factorization of 1067
Prime factors of 1067 are 11, 97. Prime factorization of 1067 in exponential form is:
1067 = 111 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 1047 and 1067.
LCM(1047,1067) = 31 × 3491 × 111 × 971
LCM(1047,1067) = 1117149
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