What is the Least Common Multiple of 67074 and 67081?

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 67074 and 67081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67074 and 67081, than apply into the LCM equation.

GCF(67074,67081) = 7
LCM(67074,67081) = ( 67074 × 67081) / 7
LCM(67074,67081) = 4499390994 / 7
LCM(67074,67081) = 642770142

Least Common Multiple (LCM) of 67074 and 67081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67074 and 67081. First we will calculate the prime factors of 67074 and 67081.

Prime Factorization of 67074

Prime Factorization of 67081

Now multiplying the highest exponent prime factors to calculate the LCM of 67074 and 67081.

LCM(67074,67081) = 2¹ × 3¹ × 7² × 1597¹ × 37²
LCM(67074,67081) = 642770142