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What is the Least Common Multiple of 18815 and 18824?

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 18815 and 18824 is 354173560.

LCM(18815,18824) = 354173560

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Least Common Multiple of 18815 and 18824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18815 and 18824, than apply into the LCM equation.

GCF(18815,18824) = 1
LCM(18815,18824) = ( 18815 × 18824) / 1
LCM(18815,18824) = 354173560 / 1
LCM(18815,18824) = 354173560

Least Common Multiple (LCM) of 18815 and 18824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18815 and 18824. First we will calculate the prime factors of 18815 and 18824.

Prime Factorization of 18815

Prime factors of 18815 are 5, 53, 71. Prime factorization of 18815 in exponential form is:

18815 = 51 × 531 × 711

Prime Factorization of 18824

Prime factors of 18824 are 2, 13, 181. Prime factorization of 18824 in exponential form is:

18824 = 23 × 131 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 18815 and 18824.

LCM(18815,18824) = 51 × 531 × 711 × 23 × 131 × 1811
LCM(18815,18824) = 354173560