What is the Least Common Multiple of 50804 and 50822?

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 50804 and 50822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50804 and 50822, than apply into the LCM equation.

GCF(50804,50822) = 2
LCM(50804,50822) = ( 50804 × 50822) / 2
LCM(50804,50822) = 2581960888 / 2
LCM(50804,50822) = 1290980444

Least Common Multiple (LCM) of 50804 and 50822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50804 and 50822. First we will calculate the prime factors of 50804 and 50822.

Prime Factorization of 50804

Prime Factorization of 50822

Now multiplying the highest exponent prime factors to calculate the LCM of 50804 and 50822.

LCM(50804,50822) = 2² × 13¹ × 977¹ × 25411¹
LCM(50804,50822) = 1290980444