What is the Least Common Multiple of 67054 and 67072?

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 67054 and 67072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67054 and 67072, than apply into the LCM equation.

GCF(67054,67072) = 2
LCM(67054,67072) = ( 67054 × 67072) / 2
LCM(67054,67072) = 4497445888 / 2
LCM(67054,67072) = 2248722944

Least Common Multiple (LCM) of 67054 and 67072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67054 and 67072. First we will calculate the prime factors of 67054 and 67072.

Prime Factorization of 67054

Prime Factorization of 67072

Now multiplying the highest exponent prime factors to calculate the LCM of 67054 and 67072.

LCM(67054,67072) = 2⁹ × 13¹ × 2579¹ × 131¹
LCM(67054,67072) = 2248722944