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What is the Least Common Multiple of 11698 and 11704?

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 11698 and 11704 is 68456696.

LCM(11698,11704) = 68456696

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Least Common Multiple of 11698 and 11704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11698 and 11704, than apply into the LCM equation.

GCF(11698,11704) = 2
LCM(11698,11704) = ( 11698 × 11704) / 2
LCM(11698,11704) = 136913392 / 2
LCM(11698,11704) = 68456696

Least Common Multiple (LCM) of 11698 and 11704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11698 and 11704. First we will calculate the prime factors of 11698 and 11704.

Prime Factorization of 11698

Prime factors of 11698 are 2, 5849. Prime factorization of 11698 in exponential form is:

11698 = 21 × 58491

Prime Factorization of 11704

Prime factors of 11704 are 2, 7, 11, 19. Prime factorization of 11704 in exponential form is:

11704 = 23 × 71 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 11698 and 11704.

LCM(11698,11704) = 23 × 58491 × 71 × 111 × 191
LCM(11698,11704) = 68456696