What is the Least Common Multiple of 48192 and 48209?

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 48209 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 48209, than apply into the LCM equation.

GCF(48192,48209) = 1
LCM(48192,48209) = ( 48192 × 48209) / 1
LCM(48192,48209) = 2323288128 / 1
LCM(48192,48209) = 2323288128

Least Common Multiple (LCM) of 48192 and 48209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48192 and 48209. First we will calculate the prime factors of 48192 and 48209.

Prime Factorization of 48192

Prime Factorization of 48209

Now multiplying the highest exponent prime factors to calculate the LCM of 48192 and 48209.

LCM(48192,48209) = 2⁶ × 3¹ × 251¹ × 7¹ × 71¹ × 97¹
LCM(48192,48209) = 2323288128