What is the Least Common Multiple of 67332 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 of 67332 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 67332 and 67342, than apply into the LCM equation.

GCF(67332,67342) = 2
LCM(67332,67342) = ( 67332 × 67342) / 2
LCM(67332,67342) = 4534271544 / 2
LCM(67332,67342) = 2267135772

Least Common Multiple (LCM) of 67332 and 67342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67332 and 67342. First we will calculate the prime factors of 67332 and 67342.

Prime Factorization of 67332

Prime Factorization of 67342

Now multiplying the highest exponent prime factors to calculate the LCM of 67332 and 67342.

LCM(67332,67342) = 2² × 3¹ × 31¹ × 181¹ × 11¹ × 3061¹
LCM(67332,67342) = 2267135772