What is the Least Common Multiple of 1065 and 1082?
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 1065 and 1082 is 1152330.
LCM(1065,1082) = 1152330
Least Common Multiple of 1065 and 1082 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1065 and 1082, than apply into the LCM equation.
GCF(1065,1082) = 1
LCM(1065,1082) = ( 1065 × 1082) / 1
LCM(1065,1082) = 1152330 / 1
LCM(1065,1082) = 1152330
Least Common Multiple (LCM) of 1065 and 1082 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1065 and 1082. First we will calculate the prime factors of 1065 and 1082.
Prime Factorization of 1065
Prime factors of 1065 are 3, 5, 71. Prime factorization of 1065 in exponential form is:
1065 = 31 × 51 × 711
Prime Factorization of 1082
Prime factors of 1082 are 2, 541. Prime factorization of 1082 in exponential form is:
1082 = 21 × 5411
Now multiplying the highest exponent prime factors to calculate the LCM of 1065 and 1082.
LCM(1065,1082) = 31 × 51 × 711 × 21 × 5411
LCM(1065,1082) = 1152330
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