What is the Least Common Multiple of 1068 and 1072?
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 1068 and 1072 is 286224.
LCM(1068,1072) = 286224
Least Common Multiple of 1068 and 1072 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1068 and 1072, than apply into the LCM equation.
GCF(1068,1072) = 4
LCM(1068,1072) = ( 1068 × 1072) / 4
LCM(1068,1072) = 1144896 / 4
LCM(1068,1072) = 286224
Least Common Multiple (LCM) of 1068 and 1072 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1068 and 1072. First we will calculate the prime factors of 1068 and 1072.
Prime Factorization of 1068
Prime factors of 1068 are 2, 3, 89. Prime factorization of 1068 in exponential form is:
1068 = 22 × 31 × 891
Prime Factorization of 1072
Prime factors of 1072 are 2, 67. Prime factorization of 1072 in exponential form is:
1072 = 24 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 1068 and 1072.
LCM(1068,1072) = 24 × 31 × 891 × 671
LCM(1068,1072) = 286224
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