What is the Least Common Multiple of 49840 and 49856?

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 49840 and 49856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49840 and 49856, than apply into the LCM equation.

GCF(49840,49856) = 16
LCM(49840,49856) = ( 49840 × 49856) / 16
LCM(49840,49856) = 2484823040 / 16
LCM(49840,49856) = 155301440

Least Common Multiple (LCM) of 49840 and 49856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49840 and 49856. First we will calculate the prime factors of 49840 and 49856.

Prime Factorization of 49840

Prime Factorization of 49856

Now multiplying the highest exponent prime factors to calculate the LCM of 49840 and 49856.

LCM(49840,49856) = 2⁶ × 5¹ × 7¹ × 89¹ × 19¹ × 41¹
LCM(49840,49856) = 155301440