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What is the Least Common Multiple of 67334 and 67340?

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 67334 and 67340 is 2267135780.

LCM(67334,67340) = 2267135780

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Least Common Multiple of 67334 and 67340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67334 and 67340, than apply into the LCM equation.

GCF(67334,67340) = 2
LCM(67334,67340) = ( 67334 × 67340) / 2
LCM(67334,67340) = 4534271560 / 2
LCM(67334,67340) = 2267135780

Least Common Multiple (LCM) of 67334 and 67340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67334 and 67340. First we will calculate the prime factors of 67334 and 67340.

Prime Factorization of 67334

Prime factors of 67334 are 2, 131, 257. Prime factorization of 67334 in exponential form is:

67334 = 21 × 1311 × 2571

Prime Factorization of 67340

Prime factors of 67340 are 2, 5, 7, 13, 37. Prime factorization of 67340 in exponential form is:

67340 = 22 × 51 × 71 × 131 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 67334 and 67340.

LCM(67334,67340) = 22 × 1311 × 2571 × 51 × 71 × 131 × 371
LCM(67334,67340) = 2267135780