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What is the Least Common Multiple of 1097 and 1115?

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 1097 and 1115 is 1223155.

LCM(1097,1115) = 1223155

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Least Common Multiple of 1097 and 1115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1097 and 1115, than apply into the LCM equation.

GCF(1097,1115) = 1
LCM(1097,1115) = ( 1097 × 1115) / 1
LCM(1097,1115) = 1223155 / 1
LCM(1097,1115) = 1223155

Least Common Multiple (LCM) of 1097 and 1115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1097 and 1115. First we will calculate the prime factors of 1097 and 1115.

Prime Factorization of 1097

Prime factors of 1097 are 1097. Prime factorization of 1097 in exponential form is:

1097 = 10971

Prime Factorization of 1115

Prime factors of 1115 are 5, 223. Prime factorization of 1115 in exponential form is:

1115 = 51 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 1097 and 1115.

LCM(1097,1115) = 10971 × 51 × 2231
LCM(1097,1115) = 1223155