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What is the Least Common Multiple of 11498 and 11506?

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 11498 and 11506 is 66147994.

LCM(11498,11506) = 66147994

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Least Common Multiple of 11498 and 11506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11498 and 11506, than apply into the LCM equation.

GCF(11498,11506) = 2
LCM(11498,11506) = ( 11498 × 11506) / 2
LCM(11498,11506) = 132295988 / 2
LCM(11498,11506) = 66147994

Least Common Multiple (LCM) of 11498 and 11506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11498 and 11506. First we will calculate the prime factors of 11498 and 11506.

Prime Factorization of 11498

Prime factors of 11498 are 2, 5749. Prime factorization of 11498 in exponential form is:

11498 = 21 × 57491

Prime Factorization of 11506

Prime factors of 11506 are 2, 11, 523. Prime factorization of 11506 in exponential form is:

11506 = 21 × 111 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 11498 and 11506.

LCM(11498,11506) = 21 × 57491 × 111 × 5231
LCM(11498,11506) = 66147994