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What is the Least Common Multiple of 11202 and 11215?

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 11202 and 11215 is 125630430.

LCM(11202,11215) = 125630430

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Least Common Multiple of 11202 and 11215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11202 and 11215, than apply into the LCM equation.

GCF(11202,11215) = 1
LCM(11202,11215) = ( 11202 × 11215) / 1
LCM(11202,11215) = 125630430 / 1
LCM(11202,11215) = 125630430

Least Common Multiple (LCM) of 11202 and 11215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11202 and 11215. First we will calculate the prime factors of 11202 and 11215.

Prime Factorization of 11202

Prime factors of 11202 are 2, 3, 1867. Prime factorization of 11202 in exponential form is:

11202 = 21 × 31 × 18671

Prime Factorization of 11215

Prime factors of 11215 are 5, 2243. Prime factorization of 11215 in exponential form is:

11215 = 51 × 22431

Now multiplying the highest exponent prime factors to calculate the LCM of 11202 and 11215.

LCM(11202,11215) = 21 × 31 × 18671 × 51 × 22431
LCM(11202,11215) = 125630430