What is the Least Common Multiple of 67034 and 67054?

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 67034 and 67054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67034 and 67054, than apply into the LCM equation.

GCF(67034,67054) = 2
LCM(67034,67054) = ( 67034 × 67054) / 2
LCM(67034,67054) = 4494897836 / 2
LCM(67034,67054) = 2247448918

Least Common Multiple (LCM) of 67034 and 67054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67034 and 67054. First we will calculate the prime factors of 67034 and 67054.

Prime Factorization of 67034

Prime Factorization of 67054

Now multiplying the highest exponent prime factors to calculate the LCM of 67034 and 67054.

LCM(67034,67054) = 2¹ × 11² × 277¹ × 13¹ × 2579¹
LCM(67034,67054) = 2247448918