What is the Least Common Multiple of 92816 and 92834?

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 92816 and 92834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92816 and 92834, than apply into the LCM equation.

GCF(92816,92834) = 2
LCM(92816,92834) = ( 92816 × 92834) / 2
LCM(92816,92834) = 8616480544 / 2
LCM(92816,92834) = 4308240272

Least Common Multiple (LCM) of 92816 and 92834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92816 and 92834. First we will calculate the prime factors of 92816 and 92834.

Prime Factorization of 92816

Prime Factorization of 92834

Now multiplying the highest exponent prime factors to calculate the LCM of 92816 and 92834.

LCM(92816,92834) = 2⁴ × 5801¹ × 7¹ × 19¹ × 349¹
LCM(92816,92834) = 4308240272