What is the Least Common Multiple of 77830 and 77838?

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 77830 and 77838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77830 and 77838, than apply into the LCM equation.

GCF(77830,77838) = 2
LCM(77830,77838) = ( 77830 × 77838) / 2
LCM(77830,77838) = 6058131540 / 2
LCM(77830,77838) = 3029065770

Least Common Multiple (LCM) of 77830 and 77838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77830 and 77838. First we will calculate the prime factors of 77830 and 77838.

Prime Factorization of 77830

Prime Factorization of 77838

Now multiplying the highest exponent prime factors to calculate the LCM of 77830 and 77838.

LCM(77830,77838) = 2¹ × 5¹ × 43¹ × 181¹ × 3¹ × 12973¹
LCM(77830,77838) = 3029065770