What is the Least Common Multiple of 1061 and 1077?
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 1061 and 1077 is 1142697.
LCM(1061,1077) = 1142697
Least Common Multiple of 1061 and 1077 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1061 and 1077, than apply into the LCM equation.
GCF(1061,1077) = 1
LCM(1061,1077) = ( 1061 × 1077) / 1
LCM(1061,1077) = 1142697 / 1
LCM(1061,1077) = 1142697
Least Common Multiple (LCM) of 1061 and 1077 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1061 and 1077. First we will calculate the prime factors of 1061 and 1077.
Prime Factorization of 1061
Prime factors of 1061 are 1061. Prime factorization of 1061 in exponential form is:
1061 = 10611
Prime Factorization of 1077
Prime factors of 1077 are 3, 359. Prime factorization of 1077 in exponential form is:
1077 = 31 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 1061 and 1077.
LCM(1061,1077) = 10611 × 31 × 3591
LCM(1061,1077) = 1142697
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