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What is the Least Common Multiple of 18425 and 18445?

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 18425 and 18445 is 67969825.

LCM(18425,18445) = 67969825

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Least Common Multiple of 18425 and 18445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18425 and 18445, than apply into the LCM equation.

GCF(18425,18445) = 5
LCM(18425,18445) = ( 18425 × 18445) / 5
LCM(18425,18445) = 339849125 / 5
LCM(18425,18445) = 67969825

Least Common Multiple (LCM) of 18425 and 18445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18425 and 18445. First we will calculate the prime factors of 18425 and 18445.

Prime Factorization of 18425

Prime factors of 18425 are 5, 11, 67. Prime factorization of 18425 in exponential form is:

18425 = 52 × 111 × 671

Prime Factorization of 18445

Prime factors of 18445 are 5, 7, 17, 31. Prime factorization of 18445 in exponential form is:

18445 = 51 × 71 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 18425 and 18445.

LCM(18425,18445) = 52 × 111 × 671 × 71 × 171 × 311
LCM(18425,18445) = 67969825