What is the Least Common Multiple of 68896 and 68912?

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 68896 and 68912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68896 and 68912, than apply into the LCM equation.

GCF(68896,68912) = 16
LCM(68896,68912) = ( 68896 × 68912) / 16
LCM(68896,68912) = 4747761152 / 16
LCM(68896,68912) = 296735072

Least Common Multiple (LCM) of 68896 and 68912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68896 and 68912. First we will calculate the prime factors of 68896 and 68912.

Prime Factorization of 68896

Prime Factorization of 68912

Now multiplying the highest exponent prime factors to calculate the LCM of 68896 and 68912.

LCM(68896,68912) = 2⁵ × 2153¹ × 59¹ × 73¹
LCM(68896,68912) = 296735072