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What is the Least Common Multiple of 11496 and 11502?

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 11496 and 11502 is 22037832.

LCM(11496,11502) = 22037832

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Least Common Multiple of 11496 and 11502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11496 and 11502, than apply into the LCM equation.

GCF(11496,11502) = 6
LCM(11496,11502) = ( 11496 × 11502) / 6
LCM(11496,11502) = 132226992 / 6
LCM(11496,11502) = 22037832

Least Common Multiple (LCM) of 11496 and 11502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11496 and 11502. First we will calculate the prime factors of 11496 and 11502.

Prime Factorization of 11496

Prime factors of 11496 are 2, 3, 479. Prime factorization of 11496 in exponential form is:

11496 = 23 × 31 × 4791

Prime Factorization of 11502

Prime factors of 11502 are 2, 3, 71. Prime factorization of 11502 in exponential form is:

11502 = 21 × 34 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 11496 and 11502.

LCM(11496,11502) = 23 × 34 × 4791 × 711
LCM(11496,11502) = 22037832