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What is the Least Common Multiple of 15365 and 15380?

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 15365 and 15380 is 47262740.

LCM(15365,15380) = 47262740

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Least Common Multiple of 15365 and 15380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15365 and 15380, than apply into the LCM equation.

GCF(15365,15380) = 5
LCM(15365,15380) = ( 15365 × 15380) / 5
LCM(15365,15380) = 236313700 / 5
LCM(15365,15380) = 47262740

Least Common Multiple (LCM) of 15365 and 15380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15365 and 15380. First we will calculate the prime factors of 15365 and 15380.

Prime Factorization of 15365

Prime factors of 15365 are 5, 7, 439. Prime factorization of 15365 in exponential form is:

15365 = 51 × 71 × 4391

Prime Factorization of 15380

Prime factors of 15380 are 2, 5, 769. Prime factorization of 15380 in exponential form is:

15380 = 22 × 51 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 15365 and 15380.

LCM(15365,15380) = 51 × 71 × 4391 × 22 × 7691
LCM(15365,15380) = 47262740