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What is the Least Common Multiple of 11201 and 11218?

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 11201 and 11218 is 125652818.

LCM(11201,11218) = 125652818

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Least Common Multiple of 11201 and 11218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11201 and 11218, than apply into the LCM equation.

GCF(11201,11218) = 1
LCM(11201,11218) = ( 11201 × 11218) / 1
LCM(11201,11218) = 125652818 / 1
LCM(11201,11218) = 125652818

Least Common Multiple (LCM) of 11201 and 11218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11201 and 11218. First we will calculate the prime factors of 11201 and 11218.

Prime Factorization of 11201

Prime factors of 11201 are 23, 487. Prime factorization of 11201 in exponential form is:

11201 = 231 × 4871

Prime Factorization of 11218

Prime factors of 11218 are 2, 71, 79. Prime factorization of 11218 in exponential form is:

11218 = 21 × 711 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 11201 and 11218.

LCM(11201,11218) = 231 × 4871 × 21 × 711 × 791
LCM(11201,11218) = 125652818