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What is the Least Common Multiple of 67336 and 67350?

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 67336 and 67350 is 2267539800.

LCM(67336,67350) = 2267539800

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Least Common Multiple of 67336 and 67350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67336 and 67350, than apply into the LCM equation.

GCF(67336,67350) = 2
LCM(67336,67350) = ( 67336 × 67350) / 2
LCM(67336,67350) = 4535079600 / 2
LCM(67336,67350) = 2267539800

Least Common Multiple (LCM) of 67336 and 67350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67336 and 67350. First we will calculate the prime factors of 67336 and 67350.

Prime Factorization of 67336

Prime factors of 67336 are 2, 19, 443. Prime factorization of 67336 in exponential form is:

67336 = 23 × 191 × 4431

Prime Factorization of 67350

Prime factors of 67350 are 2, 3, 5, 449. Prime factorization of 67350 in exponential form is:

67350 = 21 × 31 × 52 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 67336 and 67350.

LCM(67336,67350) = 23 × 191 × 4431 × 31 × 52 × 4491
LCM(67336,67350) = 2267539800