What is the Least Common Multiple of 74803 and 74822?

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 74803 and 74822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74803 and 74822, than apply into the LCM equation.

GCF(74803,74822) = 19
LCM(74803,74822) = ( 74803 × 74822) / 19
LCM(74803,74822) = 5596910066 / 19
LCM(74803,74822) = 294574214

Least Common Multiple (LCM) of 74803 and 74822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74803 and 74822. First we will calculate the prime factors of 74803 and 74822.

Prime Factorization of 74803

Prime Factorization of 74822

Now multiplying the highest exponent prime factors to calculate the LCM of 74803 and 74822.

LCM(74803,74822) = 19¹ × 31¹ × 127¹ × 2¹ × 11¹ × 179¹
LCM(74803,74822) = 294574214