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What is the Least Common Multiple of 13348 and 13366?

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 13348 and 13366 is 89204684.

LCM(13348,13366) = 89204684

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Least Common Multiple of 13348 and 13366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13348 and 13366, than apply into the LCM equation.

GCF(13348,13366) = 2
LCM(13348,13366) = ( 13348 × 13366) / 2
LCM(13348,13366) = 178409368 / 2
LCM(13348,13366) = 89204684

Least Common Multiple (LCM) of 13348 and 13366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13348 and 13366. First we will calculate the prime factors of 13348 and 13366.

Prime Factorization of 13348

Prime factors of 13348 are 2, 47, 71. Prime factorization of 13348 in exponential form is:

13348 = 22 × 471 × 711

Prime Factorization of 13366

Prime factors of 13366 are 2, 41, 163. Prime factorization of 13366 in exponential form is:

13366 = 21 × 411 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 13348 and 13366.

LCM(13348,13366) = 22 × 471 × 711 × 411 × 1631
LCM(13348,13366) = 89204684