What is the Least Common Multiple of 48340 and 48355?

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 48340 and 48355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48340 and 48355, than apply into the LCM equation.

GCF(48340,48355) = 5
LCM(48340,48355) = ( 48340 × 48355) / 5
LCM(48340,48355) = 2337480700 / 5
LCM(48340,48355) = 467496140

Least Common Multiple (LCM) of 48340 and 48355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48340 and 48355. First we will calculate the prime factors of 48340 and 48355.

Prime Factorization of 48340

Prime Factorization of 48355

Now multiplying the highest exponent prime factors to calculate the LCM of 48340 and 48355.

LCM(48340,48355) = 2² × 5¹ × 2417¹ × 19¹ × 509¹
LCM(48340,48355) = 467496140