What is the Least Common Multiple of 92769 and 92782?

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 92769 and 92782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92769 and 92782, than apply into the LCM equation.

GCF(92769,92782) = 1
LCM(92769,92782) = ( 92769 × 92782) / 1
LCM(92769,92782) = 8607293358 / 1
LCM(92769,92782) = 8607293358

Least Common Multiple (LCM) of 92769 and 92782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92769 and 92782. First we will calculate the prime factors of 92769 and 92782.

Prime Factorization of 92769

Prime Factorization of 92782

Now multiplying the highest exponent prime factors to calculate the LCM of 92769 and 92782.

LCM(92769,92782) = 3¹ × 17² × 107¹ × 2¹ × 23¹ × 2017¹
LCM(92769,92782) = 8607293358