What is the Least Common Multiple of 92048 and 92052?

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 92048 and 92052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92048 and 92052, than apply into the LCM equation.

GCF(92048,92052) = 4
LCM(92048,92052) = ( 92048 × 92052) / 4
LCM(92048,92052) = 8473202496 / 4
LCM(92048,92052) = 2118300624

Least Common Multiple (LCM) of 92048 and 92052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92048 and 92052. First we will calculate the prime factors of 92048 and 92052.

Prime Factorization of 92048

Prime Factorization of 92052

Now multiplying the highest exponent prime factors to calculate the LCM of 92048 and 92052.

LCM(92048,92052) = 2⁴ × 11¹ × 523¹ × 3² × 2557¹
LCM(92048,92052) = 2118300624