GCF and LCM Calculator Logo

What is the Least Common Multiple of 1082 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 1082 and 1097 is 1186954.

LCM(1082,1097) = 1186954

LCM Calculator and
and

Least Common Multiple of 1082 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 1082 and 1097, than apply into the LCM equation.

GCF(1082,1097) = 1
LCM(1082,1097) = ( 1082 × 1097) / 1
LCM(1082,1097) = 1186954 / 1
LCM(1082,1097) = 1186954

Least Common Multiple (LCM) of 1082 and 1097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1082 and 1097. First we will calculate the prime factors of 1082 and 1097.

Prime Factorization of 1082

Prime factors of 1082 are 2, 541. Prime factorization of 1082 in exponential form is:

1082 = 21 × 5411

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 1082 and 1097.

LCM(1082,1097) = 21 × 5411 × 10971
LCM(1082,1097) = 1186954