What is the Least Common Multiple of 94688 and 94696?

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 94688 and 94696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94688 and 94696, than apply into the LCM equation.

GCF(94688,94696) = 8
LCM(94688,94696) = ( 94688 × 94696) / 8
LCM(94688,94696) = 8966574848 / 8
LCM(94688,94696) = 1120821856

Least Common Multiple (LCM) of 94688 and 94696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94688 and 94696. First we will calculate the prime factors of 94688 and 94696.

Prime Factorization of 94688

Prime Factorization of 94696

Now multiplying the highest exponent prime factors to calculate the LCM of 94688 and 94696.

LCM(94688,94696) = 2⁵ × 11¹ × 269¹ × 7¹ × 19¹ × 89¹
LCM(94688,94696) = 1120821856