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What is the Least Common Multiple of 11536 and 11550?

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 11536 and 11550 is 9517200.

LCM(11536,11550) = 9517200

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Least Common Multiple of 11536 and 11550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11536 and 11550, than apply into the LCM equation.

GCF(11536,11550) = 14
LCM(11536,11550) = ( 11536 × 11550) / 14
LCM(11536,11550) = 133240800 / 14
LCM(11536,11550) = 9517200

Least Common Multiple (LCM) of 11536 and 11550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11536 and 11550. First we will calculate the prime factors of 11536 and 11550.

Prime Factorization of 11536

Prime factors of 11536 are 2, 7, 103. Prime factorization of 11536 in exponential form is:

11536 = 24 × 71 × 1031

Prime Factorization of 11550

Prime factors of 11550 are 2, 3, 5, 7, 11. Prime factorization of 11550 in exponential form is:

11550 = 21 × 31 × 52 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 11536 and 11550.

LCM(11536,11550) = 24 × 71 × 1031 × 31 × 52 × 111
LCM(11536,11550) = 9517200