What is the Least Common Multiple of 1047 and 1064?
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 1064 is 1114008.
LCM(1047,1064) = 1114008
Least Common Multiple of 1047 and 1064 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 1064, than apply into the LCM equation.
GCF(1047,1064) = 1
LCM(1047,1064) = ( 1047 × 1064) / 1
LCM(1047,1064) = 1114008 / 1
LCM(1047,1064) = 1114008
Least Common Multiple (LCM) of 1047 and 1064 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1047 and 1064. First we will calculate the prime factors of 1047 and 1064.
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 1064
Prime factors of 1064 are 2, 7, 19. Prime factorization of 1064 in exponential form is:
1064 = 23 × 71 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 1047 and 1064.
LCM(1047,1064) = 31 × 3491 × 23 × 71 × 191
LCM(1047,1064) = 1114008
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