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What is the Least Common Multiple of 28369 and 28380?

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 28369 and 28380 is 73192020.

LCM(28369,28380) = 73192020

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Least Common Multiple of 28369 and 28380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28369 and 28380, than apply into the LCM equation.

GCF(28369,28380) = 11
LCM(28369,28380) = ( 28369 × 28380) / 11
LCM(28369,28380) = 805112220 / 11
LCM(28369,28380) = 73192020

Least Common Multiple (LCM) of 28369 and 28380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28369 and 28380. First we will calculate the prime factors of 28369 and 28380.

Prime Factorization of 28369

Prime factors of 28369 are 11, 2579. Prime factorization of 28369 in exponential form is:

28369 = 111 × 25791

Prime Factorization of 28380

Prime factors of 28380 are 2, 3, 5, 11, 43. Prime factorization of 28380 in exponential form is:

28380 = 22 × 31 × 51 × 111 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 28369 and 28380.

LCM(28369,28380) = 111 × 25791 × 22 × 31 × 51 × 431
LCM(28369,28380) = 73192020