What is the Least Common Multiple of 92508 and 92523?

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 92508 and 92523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92508 and 92523, than apply into the LCM equation.

GCF(92508,92523) = 3
LCM(92508,92523) = ( 92508 × 92523) / 3
LCM(92508,92523) = 8559117684 / 3
LCM(92508,92523) = 2853039228

Least Common Multiple (LCM) of 92508 and 92523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92508 and 92523. First we will calculate the prime factors of 92508 and 92523.

Prime Factorization of 92508

Prime Factorization of 92523

Now multiplying the highest exponent prime factors to calculate the LCM of 92508 and 92523.

LCM(92508,92523) = 2² × 3¹ × 13¹ × 593¹ × 30841¹
LCM(92508,92523) = 2853039228