What is the Least Common Multiple of 92508 and 92524?

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 92524 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 92524, than apply into the LCM equation.

GCF(92508,92524) = 4
LCM(92508,92524) = ( 92508 × 92524) / 4
LCM(92508,92524) = 8559210192 / 4
LCM(92508,92524) = 2139802548

Least Common Multiple (LCM) of 92508 and 92524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92508 and 92524. First we will calculate the prime factors of 92508 and 92524.

Prime Factorization of 92508

Prime Factorization of 92524

Now multiplying the highest exponent prime factors to calculate the LCM of 92508 and 92524.

LCM(92508,92524) = 2² × 3¹ × 13¹ × 593¹ × 23131¹
LCM(92508,92524) = 2139802548