What is the Least Common Multiple of 68672 and 68688?

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 68672 and 68688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68672 and 68688, than apply into the LCM equation.

GCF(68672,68688) = 16
LCM(68672,68688) = ( 68672 × 68688) / 16
LCM(68672,68688) = 4716942336 / 16
LCM(68672,68688) = 294808896

Least Common Multiple (LCM) of 68672 and 68688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68672 and 68688. First we will calculate the prime factors of 68672 and 68688.

Prime Factorization of 68672

Prime Factorization of 68688

Now multiplying the highest exponent prime factors to calculate the LCM of 68672 and 68688.

LCM(68672,68688) = 2⁶ × 29¹ × 37¹ × 3⁴ × 53¹
LCM(68672,68688) = 294808896