What is the Least Common Multiple of 74820 and 74836?

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 74836 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 74836, than apply into the LCM equation.

GCF(74820,74836) = 4
LCM(74820,74836) = ( 74820 × 74836) / 4
LCM(74820,74836) = 5599229520 / 4
LCM(74820,74836) = 1399807380

Least Common Multiple (LCM) of 74820 and 74836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74820 and 74836. First we will calculate the prime factors of 74820 and 74836.

Prime Factorization of 74820

Prime Factorization of 74836

Now multiplying the highest exponent prime factors to calculate the LCM of 74820 and 74836.

LCM(74820,74836) = 2² × 3¹ × 5¹ × 29¹ × 43¹ × 53¹ × 353¹
LCM(74820,74836) = 1399807380