What is the Least Common Multiple of 1077 and 1097?
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 1077 and 1097 is 1181469.
LCM(1077,1097) = 1181469
Least Common Multiple of 1077 and 1097 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1077 and 1097, than apply into the LCM equation.
GCF(1077,1097) = 1
LCM(1077,1097) = ( 1077 × 1097) / 1
LCM(1077,1097) = 1181469 / 1
LCM(1077,1097) = 1181469
Least Common Multiple (LCM) of 1077 and 1097 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1077 and 1097. First we will calculate the prime factors of 1077 and 1097.
Prime Factorization of 1077
Prime factors of 1077 are 3, 359. Prime factorization of 1077 in exponential form is:
1077 = 31 × 3591
Prime Factorization of 1097
Prime factors of 1097 are 1097. Prime factorization of 1097 in exponential form is:
1097 = 10971
Now multiplying the highest exponent prime factors to calculate the LCM of 1077 and 1097.
LCM(1077,1097) = 31 × 3591 × 10971
LCM(1077,1097) = 1181469
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