What is the Least Common Multiple of 77830 and 77848?

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 77848 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 77848, than apply into the LCM equation.

GCF(77830,77848) = 2
LCM(77830,77848) = ( 77830 × 77848) / 2
LCM(77830,77848) = 6058909840 / 2
LCM(77830,77848) = 3029454920

Least Common Multiple (LCM) of 77830 and 77848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77830 and 77848. First we will calculate the prime factors of 77830 and 77848.

Prime Factorization of 77830

Prime Factorization of 77848

Now multiplying the highest exponent prime factors to calculate the LCM of 77830 and 77848.

LCM(77830,77848) = 2³ × 5¹ × 43¹ × 181¹ × 37¹ × 263¹
LCM(77830,77848) = 3029454920