What is the Least Common Multiple of 74815 and 74820?

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 74815 and 74820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74815 and 74820, than apply into the LCM equation.

GCF(74815,74820) = 5
LCM(74815,74820) = ( 74815 × 74820) / 5
LCM(74815,74820) = 5597658300 / 5
LCM(74815,74820) = 1119531660

Least Common Multiple (LCM) of 74815 and 74820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74815 and 74820. First we will calculate the prime factors of 74815 and 74820.

Prime Factorization of 74815

Prime Factorization of 74820

Now multiplying the highest exponent prime factors to calculate the LCM of 74815 and 74820.

LCM(74815,74820) = 5¹ × 13¹ × 1151¹ × 2² × 3¹ × 29¹ × 43¹
LCM(74815,74820) = 1119531660