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What is the Least Common Multiple of 13215 and 13220?

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 13215 and 13220 is 34940460.

LCM(13215,13220) = 34940460

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Least Common Multiple of 13215 and 13220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13215 and 13220, than apply into the LCM equation.

GCF(13215,13220) = 5
LCM(13215,13220) = ( 13215 × 13220) / 5
LCM(13215,13220) = 174702300 / 5
LCM(13215,13220) = 34940460

Least Common Multiple (LCM) of 13215 and 13220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13215 and 13220. First we will calculate the prime factors of 13215 and 13220.

Prime Factorization of 13215

Prime factors of 13215 are 3, 5, 881. Prime factorization of 13215 in exponential form is:

13215 = 31 × 51 × 8811

Prime Factorization of 13220

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

13220 = 22 × 51 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 13215 and 13220.

LCM(13215,13220) = 31 × 51 × 8811 × 22 × 6611
LCM(13215,13220) = 34940460