What is the Least Common Multiple of 69856 and 69872?

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 69856 and 69872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69856 and 69872, than apply into the LCM equation.

GCF(69856,69872) = 16
LCM(69856,69872) = ( 69856 × 69872) / 16
LCM(69856,69872) = 4880978432 / 16
LCM(69856,69872) = 305061152

Least Common Multiple (LCM) of 69856 and 69872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69856 and 69872. First we will calculate the prime factors of 69856 and 69872.

Prime Factorization of 69856

Prime Factorization of 69872

Now multiplying the highest exponent prime factors to calculate the LCM of 69856 and 69872.

LCM(69856,69872) = 2⁵ × 37¹ × 59¹ × 11¹ × 397¹
LCM(69856,69872) = 305061152