What is the Least Common Multiple of 74820 and 74835?

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 74835 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 74835, than apply into the LCM equation.

GCF(74820,74835) = 15
LCM(74820,74835) = ( 74820 × 74835) / 15
LCM(74820,74835) = 5599154700 / 15
LCM(74820,74835) = 373276980

Least Common Multiple (LCM) of 74820 and 74835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74820 and 74835. First we will calculate the prime factors of 74820 and 74835.

Prime Factorization of 74820

Prime Factorization of 74835

Now multiplying the highest exponent prime factors to calculate the LCM of 74820 and 74835.

LCM(74820,74835) = 2² × 3² × 5¹ × 29¹ × 43¹ × 1663¹
LCM(74820,74835) = 373276980