What is the Least Common Multiple of 68112 and 68128?

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 68112 and 68128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68112 and 68128, than apply into the LCM equation.

GCF(68112,68128) = 16
LCM(68112,68128) = ( 68112 × 68128) / 16
LCM(68112,68128) = 4640334336 / 16
LCM(68112,68128) = 290020896

Least Common Multiple (LCM) of 68112 and 68128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68112 and 68128. First we will calculate the prime factors of 68112 and 68128.

Prime Factorization of 68112

Prime Factorization of 68128

Now multiplying the highest exponent prime factors to calculate the LCM of 68112 and 68128.

LCM(68112,68128) = 2⁵ × 3² × 11¹ × 43¹ × 2129¹
LCM(68112,68128) = 290020896