What is the Least Common Multiple of 48505 and 48519?

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 48505 and 48519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48505 and 48519, than apply into the LCM equation.

GCF(48505,48519) = 1
LCM(48505,48519) = ( 48505 × 48519) / 1
LCM(48505,48519) = 2353414095 / 1
LCM(48505,48519) = 2353414095

Least Common Multiple (LCM) of 48505 and 48519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48505 and 48519. First we will calculate the prime factors of 48505 and 48519.

Prime Factorization of 48505

Prime Factorization of 48519

Now multiplying the highest exponent prime factors to calculate the LCM of 48505 and 48519.

LCM(48505,48519) = 5¹ × 89¹ × 109¹ × 3⁴ × 599¹
LCM(48505,48519) = 2353414095