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What is the Least Common Multiple of 67374 and 67392?

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 67374 and 67392 is 252248256.

LCM(67374,67392) = 252248256

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Least Common Multiple of 67374 and 67392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67374 and 67392, than apply into the LCM equation.

GCF(67374,67392) = 18
LCM(67374,67392) = ( 67374 × 67392) / 18
LCM(67374,67392) = 4540468608 / 18
LCM(67374,67392) = 252248256

Least Common Multiple (LCM) of 67374 and 67392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67374 and 67392. First we will calculate the prime factors of 67374 and 67392.

Prime Factorization of 67374

Prime factors of 67374 are 2, 3, 19, 197. Prime factorization of 67374 in exponential form is:

67374 = 21 × 32 × 191 × 1971

Prime Factorization of 67392

Prime factors of 67392 are 2, 3, 13. Prime factorization of 67392 in exponential form is:

67392 = 26 × 34 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 67374 and 67392.

LCM(67374,67392) = 26 × 34 × 191 × 1971 × 131
LCM(67374,67392) = 252248256