What is the Least Common Multiple of 49856 and 49863?

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 49856 and 49863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49856 and 49863, than apply into the LCM equation.

GCF(49856,49863) = 1
LCM(49856,49863) = ( 49856 × 49863) / 1
LCM(49856,49863) = 2485969728 / 1
LCM(49856,49863) = 2485969728

Least Common Multiple (LCM) of 49856 and 49863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49856 and 49863. First we will calculate the prime factors of 49856 and 49863.

Prime Factorization of 49856

Prime Factorization of 49863

Now multiplying the highest exponent prime factors to calculate the LCM of 49856 and 49863.

LCM(49856,49863) = 2⁶ × 19¹ × 41¹ × 3¹ × 11¹ × 1511¹
LCM(49856,49863) = 2485969728