What is the Least Common Multiple of 92829 and 92844?

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 92829 and 92844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92829 and 92844, than apply into the LCM equation.

GCF(92829,92844) = 3
LCM(92829,92844) = ( 92829 × 92844) / 3
LCM(92829,92844) = 8618615676 / 3
LCM(92829,92844) = 2872871892

Least Common Multiple (LCM) of 92829 and 92844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92829 and 92844. First we will calculate the prime factors of 92829 and 92844.

Prime Factorization of 92829

Prime Factorization of 92844

Now multiplying the highest exponent prime factors to calculate the LCM of 92829 and 92844.

LCM(92829,92844) = 3² × 11¹ × 29¹ × 97¹ × 2² × 2579¹
LCM(92829,92844) = 2872871892