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What is the Least Common Multiple of 11237 and 11242?

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 11237 and 11242 is 126326354.

LCM(11237,11242) = 126326354

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Least Common Multiple of 11237 and 11242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11237 and 11242, than apply into the LCM equation.

GCF(11237,11242) = 1
LCM(11237,11242) = ( 11237 × 11242) / 1
LCM(11237,11242) = 126326354 / 1
LCM(11237,11242) = 126326354

Least Common Multiple (LCM) of 11237 and 11242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11237 and 11242. First we will calculate the prime factors of 11237 and 11242.

Prime Factorization of 11237

Prime factors of 11237 are 17, 661. Prime factorization of 11237 in exponential form is:

11237 = 171 × 6611

Prime Factorization of 11242

Prime factors of 11242 are 2, 7, 11, 73. Prime factorization of 11242 in exponential form is:

11242 = 21 × 71 × 111 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 11237 and 11242.

LCM(11237,11242) = 171 × 6611 × 21 × 71 × 111 × 731
LCM(11237,11242) = 126326354