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What is the Least Common Multiple of 13220 and 13235?

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 13220 and 13235 is 34993340.

LCM(13220,13235) = 34993340

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Least Common Multiple of 13220 and 13235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13220 and 13235, than apply into the LCM equation.

GCF(13220,13235) = 5
LCM(13220,13235) = ( 13220 × 13235) / 5
LCM(13220,13235) = 174966700 / 5
LCM(13220,13235) = 34993340

Least Common Multiple (LCM) of 13220 and 13235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13220 and 13235. First we will calculate the prime factors of 13220 and 13235.

Prime Factorization of 13220

Prime factors of 13220 are 2, 5, 661. Prime factorization of 13220 in exponential form is:

13220 = 22 × 51 × 6611

Prime Factorization of 13235

Prime factors of 13235 are 5, 2647. Prime factorization of 13235 in exponential form is:

13235 = 51 × 26471

Now multiplying the highest exponent prime factors to calculate the LCM of 13220 and 13235.

LCM(13220,13235) = 22 × 51 × 6611 × 26471
LCM(13220,13235) = 34993340