What is the Least Common Multiple of 67608 and 67628?

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 67608 and 67628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67608 and 67628, than apply into the LCM equation.

GCF(67608,67628) = 4
LCM(67608,67628) = ( 67608 × 67628) / 4
LCM(67608,67628) = 4572193824 / 4
LCM(67608,67628) = 1143048456

Least Common Multiple (LCM) of 67608 and 67628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67608 and 67628. First we will calculate the prime factors of 67608 and 67628.

Prime Factorization of 67608

Prime Factorization of 67628

Now multiplying the highest exponent prime factors to calculate the LCM of 67608 and 67628.

LCM(67608,67628) = 2³ × 3³ × 313¹ × 11¹ × 29¹ × 53¹
LCM(67608,67628) = 1143048456