What is the Least Common Multiple of 49785 and 49790?

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 49785 and 49790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49785 and 49790, than apply into the LCM equation.

GCF(49785,49790) = 5
LCM(49785,49790) = ( 49785 × 49790) / 5
LCM(49785,49790) = 2478795150 / 5
LCM(49785,49790) = 495759030

Least Common Multiple (LCM) of 49785 and 49790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49785 and 49790. First we will calculate the prime factors of 49785 and 49790.

Prime Factorization of 49785

Prime Factorization of 49790

Now multiplying the highest exponent prime factors to calculate the LCM of 49785 and 49790.

LCM(49785,49790) = 3¹ × 5¹ × 3319¹ × 2¹ × 13¹ × 383¹
LCM(49785,49790) = 495759030