What is the Least Common Multiple of 68448 and 68454?

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 68448 and 68454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68448 and 68454, than apply into the LCM equation.

GCF(68448,68454) = 6
LCM(68448,68454) = ( 68448 × 68454) / 6
LCM(68448,68454) = 4685539392 / 6
LCM(68448,68454) = 780923232

Least Common Multiple (LCM) of 68448 and 68454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68448 and 68454. First we will calculate the prime factors of 68448 and 68454.

Prime Factorization of 68448

Prime Factorization of 68454

Now multiplying the highest exponent prime factors to calculate the LCM of 68448 and 68454.

LCM(68448,68454) = 2⁵ × 3² × 23¹ × 31¹ × 3803¹
LCM(68448,68454) = 780923232