What is the Least Common Multiple of 68890 and 68896?

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 68890 and 68896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68890 and 68896, than apply into the LCM equation.

GCF(68890,68896) = 2
LCM(68890,68896) = ( 68890 × 68896) / 2
LCM(68890,68896) = 4746245440 / 2
LCM(68890,68896) = 2373122720

Least Common Multiple (LCM) of 68890 and 68896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68890 and 68896. First we will calculate the prime factors of 68890 and 68896.

Prime Factorization of 68890

Prime Factorization of 68896

Now multiplying the highest exponent prime factors to calculate the LCM of 68890 and 68896.

LCM(68890,68896) = 2⁵ × 5¹ × 83² × 2153¹
LCM(68890,68896) = 2373122720