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What is the Least Common Multiple of 11198 and 11213?

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 11198 and 11213 is 125563174.

LCM(11198,11213) = 125563174

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Least Common Multiple of 11198 and 11213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11198 and 11213, than apply into the LCM equation.

GCF(11198,11213) = 1
LCM(11198,11213) = ( 11198 × 11213) / 1
LCM(11198,11213) = 125563174 / 1
LCM(11198,11213) = 125563174

Least Common Multiple (LCM) of 11198 and 11213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11198 and 11213. First we will calculate the prime factors of 11198 and 11213.

Prime Factorization of 11198

Prime factors of 11198 are 2, 11, 509. Prime factorization of 11198 in exponential form is:

11198 = 21 × 111 × 5091

Prime Factorization of 11213

Prime factors of 11213 are 11213. Prime factorization of 11213 in exponential form is:

11213 = 112131

Now multiplying the highest exponent prime factors to calculate the LCM of 11198 and 11213.

LCM(11198,11213) = 21 × 111 × 5091 × 112131
LCM(11198,11213) = 125563174