What is the Least Common Multiple of 68324 and 68342?

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 68324 and 68342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68324 and 68342, than apply into the LCM equation.

GCF(68324,68342) = 2
LCM(68324,68342) = ( 68324 × 68342) / 2
LCM(68324,68342) = 4669398808 / 2
LCM(68324,68342) = 2334699404

Least Common Multiple (LCM) of 68324 and 68342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68324 and 68342. First we will calculate the prime factors of 68324 and 68342.

Prime Factorization of 68324

Prime Factorization of 68342

Now multiplying the highest exponent prime factors to calculate the LCM of 68324 and 68342.

LCM(68324,68342) = 2² × 19¹ × 29¹ × 31¹ × 34171¹
LCM(68324,68342) = 2334699404