What is the Least Common Multiple of 88820 and 88838?

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 88820 and 88838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88820 and 88838, than apply into the LCM equation.

GCF(88820,88838) = 2
LCM(88820,88838) = ( 88820 × 88838) / 2
LCM(88820,88838) = 7890591160 / 2
LCM(88820,88838) = 3945295580

Least Common Multiple (LCM) of 88820 and 88838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88820 and 88838. First we will calculate the prime factors of 88820 and 88838.

Prime Factorization of 88820

Prime Factorization of 88838

Now multiplying the highest exponent prime factors to calculate the LCM of 88820 and 88838.

LCM(88820,88838) = 2² × 5¹ × 4441¹ × 43¹ × 1033¹
LCM(88820,88838) = 3945295580