What is the Least Common Multiple of 48389 and 48403?

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 48389 and 48403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48389 and 48403, than apply into the LCM equation.

GCF(48389,48403) = 1
LCM(48389,48403) = ( 48389 × 48403) / 1
LCM(48389,48403) = 2342172767 / 1
LCM(48389,48403) = 2342172767

Least Common Multiple (LCM) of 48389 and 48403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48389 and 48403. First we will calculate the prime factors of 48389 and 48403.

Prime Factorization of 48389

Prime Factorization of 48403

Now multiplying the highest exponent prime factors to calculate the LCM of 48389 and 48403.

LCM(48389,48403) = 11¹ × 53¹ × 83¹ × 97¹ × 499¹
LCM(48389,48403) = 2342172767