What is the Least Common Multiple of 48192 and 48203?

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 48192 and 48203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48192 and 48203, than apply into the LCM equation.

GCF(48192,48203) = 1
LCM(48192,48203) = ( 48192 × 48203) / 1
LCM(48192,48203) = 2322998976 / 1
LCM(48192,48203) = 2322998976

Least Common Multiple (LCM) of 48192 and 48203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48192 and 48203. First we will calculate the prime factors of 48192 and 48203.

Prime Factorization of 48192

Prime Factorization of 48203

Now multiplying the highest exponent prime factors to calculate the LCM of 48192 and 48203.

LCM(48192,48203) = 2⁶ × 3¹ × 251¹ × 19¹ × 43¹ × 59¹
LCM(48192,48203) = 2322998976