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What is the Least Common Multiple of 1097 and 1114?

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 1114 is 1222058.

LCM(1097,1114) = 1222058

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Least Common Multiple of 1097 and 1114 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 1114, than apply into the LCM equation.

GCF(1097,1114) = 1
LCM(1097,1114) = ( 1097 × 1114) / 1
LCM(1097,1114) = 1222058 / 1
LCM(1097,1114) = 1222058

Least Common Multiple (LCM) of 1097 and 1114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1097 and 1114. First we will calculate the prime factors of 1097 and 1114.

Prime Factorization of 1097

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

1097 = 10971

Prime Factorization of 1114

Prime factors of 1114 are 2, 557. Prime factorization of 1114 in exponential form is:

1114 = 21 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 1097 and 1114.

LCM(1097,1114) = 10971 × 21 × 5571
LCM(1097,1114) = 1222058