What is the Least Common Multiple of 76820 and 76838?

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 76820 and 76838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76820 and 76838, than apply into the LCM equation.

GCF(76820,76838) = 2
LCM(76820,76838) = ( 76820 × 76838) / 2
LCM(76820,76838) = 5902695160 / 2
LCM(76820,76838) = 2951347580

Least Common Multiple (LCM) of 76820 and 76838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76820 and 76838. First we will calculate the prime factors of 76820 and 76838.

Prime Factorization of 76820

Prime Factorization of 76838

Now multiplying the highest exponent prime factors to calculate the LCM of 76820 and 76838.

LCM(76820,76838) = 2² × 5¹ × 23¹ × 167¹ × 103¹ × 373¹
LCM(76820,76838) = 2951347580