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What is the Least Common Multiple of 18821 and 18825?

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 18821 and 18825 is 354305325.

LCM(18821,18825) = 354305325

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Least Common Multiple of 18821 and 18825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18821 and 18825, than apply into the LCM equation.

GCF(18821,18825) = 1
LCM(18821,18825) = ( 18821 × 18825) / 1
LCM(18821,18825) = 354305325 / 1
LCM(18821,18825) = 354305325

Least Common Multiple (LCM) of 18821 and 18825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18821 and 18825. First we will calculate the prime factors of 18821 and 18825.

Prime Factorization of 18821

Prime factors of 18821 are 11, 29, 59. Prime factorization of 18821 in exponential form is:

18821 = 111 × 291 × 591

Prime Factorization of 18825

Prime factors of 18825 are 3, 5, 251. Prime factorization of 18825 in exponential form is:

18825 = 31 × 52 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 18821 and 18825.

LCM(18821,18825) = 111 × 291 × 591 × 31 × 52 × 2511
LCM(18821,18825) = 354305325