What is the Least Common Multiple of 49780 and 49795?

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 49780 and 49795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49780 and 49795, than apply into the LCM equation.

GCF(49780,49795) = 5
LCM(49780,49795) = ( 49780 × 49795) / 5
LCM(49780,49795) = 2478795100 / 5
LCM(49780,49795) = 495759020

Least Common Multiple (LCM) of 49780 and 49795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49780 and 49795. First we will calculate the prime factors of 49780 and 49795.

Prime Factorization of 49780

Prime Factorization of 49795

Now multiplying the highest exponent prime factors to calculate the LCM of 49780 and 49795.

LCM(49780,49795) = 2² × 5¹ × 19¹ × 131¹ × 23¹ × 433¹
LCM(49780,49795) = 495759020