What is the Least Common Multiple of 1072 and 1076?
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 1072 and 1076 is 288368.
LCM(1072,1076) = 288368
Least Common Multiple of 1072 and 1076 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1072 and 1076, than apply into the LCM equation.
GCF(1072,1076) = 4
LCM(1072,1076) = ( 1072 × 1076) / 4
LCM(1072,1076) = 1153472 / 4
LCM(1072,1076) = 288368
Least Common Multiple (LCM) of 1072 and 1076 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1072 and 1076. First we will calculate the prime factors of 1072 and 1076.
Prime Factorization of 1072
Prime factors of 1072 are 2, 67. Prime factorization of 1072 in exponential form is:
1072 = 24 × 671
Prime Factorization of 1076
Prime factors of 1076 are 2, 269. Prime factorization of 1076 in exponential form is:
1076 = 22 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 1072 and 1076.
LCM(1072,1076) = 24 × 671 × 2691
LCM(1072,1076) = 288368
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