What is the Least Common Multiple of 48208 and 48222?

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 48208 and 48222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48208 and 48222, than apply into the LCM equation.

GCF(48208,48222) = 2
LCM(48208,48222) = ( 48208 × 48222) / 2
LCM(48208,48222) = 2324686176 / 2
LCM(48208,48222) = 1162343088

Least Common Multiple (LCM) of 48208 and 48222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48208 and 48222. First we will calculate the prime factors of 48208 and 48222.

Prime Factorization of 48208

Prime Factorization of 48222

Now multiplying the highest exponent prime factors to calculate the LCM of 48208 and 48222.

LCM(48208,48222) = 2⁴ × 23¹ × 131¹ × 3³ × 19¹ × 47¹
LCM(48208,48222) = 1162343088