What is the Least Common Multiple of 49760 and 49774?

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 49760 and 49774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49760 and 49774, than apply into the LCM equation.

GCF(49760,49774) = 2
LCM(49760,49774) = ( 49760 × 49774) / 2
LCM(49760,49774) = 2476754240 / 2
LCM(49760,49774) = 1238377120

Least Common Multiple (LCM) of 49760 and 49774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49760 and 49774. First we will calculate the prime factors of 49760 and 49774.

Prime Factorization of 49760

Prime Factorization of 49774

Now multiplying the highest exponent prime factors to calculate the LCM of 49760 and 49774.

LCM(49760,49774) = 2⁵ × 5¹ × 311¹ × 41¹ × 607¹
LCM(49760,49774) = 1238377120