What is the Least Common Multiple of 67334 and 67352?

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 of 67334 and 67352 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 67352, than apply into the LCM equation.

GCF(67334,67352) = 2
LCM(67334,67352) = ( 67334 × 67352) / 2
LCM(67334,67352) = 4535079568 / 2
LCM(67334,67352) = 2267539784

Least Common Multiple (LCM) of 67334 and 67352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67334 and 67352. First we will calculate the prime factors of 67334 and 67352.

Prime Factorization of 67334

Prime Factorization of 67352

Now multiplying the highest exponent prime factors to calculate the LCM of 67334 and 67352.

LCM(67334,67352) = 2³ × 131¹ × 257¹ × 8419¹
LCM(67334,67352) = 2267539784