What is the Least Common Multiple of 92148 and 92152?

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 92148 and 92152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92148 and 92152, than apply into the LCM equation.

GCF(92148,92152) = 4
LCM(92148,92152) = ( 92148 × 92152) / 4
LCM(92148,92152) = 8491622496 / 4
LCM(92148,92152) = 2122905624

Least Common Multiple (LCM) of 92148 and 92152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92148 and 92152. First we will calculate the prime factors of 92148 and 92152.

Prime Factorization of 92148

Prime Factorization of 92152

Now multiplying the highest exponent prime factors to calculate the LCM of 92148 and 92152.

LCM(92148,92152) = 2³ × 3¹ × 7¹ × 1097¹ × 11519¹
LCM(92148,92152) = 2122905624