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What is the Least Common Multiple of 67365 and 67383?

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 67365 and 67383 is 504361755.

LCM(67365,67383) = 504361755

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Least Common Multiple of 67365 and 67383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67365 and 67383, than apply into the LCM equation.

GCF(67365,67383) = 9
LCM(67365,67383) = ( 67365 × 67383) / 9
LCM(67365,67383) = 4539255795 / 9
LCM(67365,67383) = 504361755

Least Common Multiple (LCM) of 67365 and 67383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67365 and 67383. First we will calculate the prime factors of 67365 and 67383.

Prime Factorization of 67365

Prime factors of 67365 are 3, 5, 499. Prime factorization of 67365 in exponential form is:

67365 = 33 × 51 × 4991

Prime Factorization of 67383

Prime factors of 67383 are 3, 7487. Prime factorization of 67383 in exponential form is:

67383 = 32 × 74871

Now multiplying the highest exponent prime factors to calculate the LCM of 67365 and 67383.

LCM(67365,67383) = 33 × 51 × 4991 × 74871
LCM(67365,67383) = 504361755