GCF and LCM Calculator Logo

What is the Least Common Multiple of 67322 and 67342?

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 67322 and 67342 is 2266799062.

LCM(67322,67342) = 2266799062

LCM Calculator and
and

Least Common Multiple of 67322 and 67342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67322 and 67342, than apply into the LCM equation.

GCF(67322,67342) = 2
LCM(67322,67342) = ( 67322 × 67342) / 2
LCM(67322,67342) = 4533598124 / 2
LCM(67322,67342) = 2266799062

Least Common Multiple (LCM) of 67322 and 67342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67322 and 67342. First we will calculate the prime factors of 67322 and 67342.

Prime Factorization of 67322

Prime factors of 67322 are 2, 41, 821. Prime factorization of 67322 in exponential form is:

67322 = 21 × 411 × 8211

Prime Factorization of 67342

Prime factors of 67342 are 2, 11, 3061. Prime factorization of 67342 in exponential form is:

67342 = 21 × 111 × 30611

Now multiplying the highest exponent prime factors to calculate the LCM of 67322 and 67342.

LCM(67322,67342) = 21 × 411 × 8211 × 111 × 30611
LCM(67322,67342) = 2266799062