What is the Least Common Multiple of 74820 and 74833?

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 74820 and 74833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74820 and 74833, than apply into the LCM equation.

GCF(74820,74833) = 1
LCM(74820,74833) = ( 74820 × 74833) / 1
LCM(74820,74833) = 5599005060 / 1
LCM(74820,74833) = 5599005060

Least Common Multiple (LCM) of 74820 and 74833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74820 and 74833. First we will calculate the prime factors of 74820 and 74833.

Prime Factorization of 74820

Prime Factorization of 74833

Now multiplying the highest exponent prime factors to calculate the LCM of 74820 and 74833.

LCM(74820,74833) = 2² × 3¹ × 5¹ × 29¹ × 43¹ × 11¹ × 6803¹
LCM(74820,74833) = 5599005060