What is the Least Common Multiple of 48233 and 48253?

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 48233 and 48253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48233 and 48253, than apply into the LCM equation.

GCF(48233,48253) = 1
LCM(48233,48253) = ( 48233 × 48253) / 1
LCM(48233,48253) = 2327386949 / 1
LCM(48233,48253) = 2327386949

Least Common Multiple (LCM) of 48233 and 48253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48233 and 48253. First we will calculate the prime factors of 48233 and 48253.

Prime Factorization of 48233

Prime Factorization of 48253

Now multiplying the highest exponent prime factors to calculate the LCM of 48233 and 48253.

LCM(48233,48253) = 139¹ × 347¹ × 73¹ × 661¹
LCM(48233,48253) = 2327386949