What is the Least Common Multiple of 77830 and 77835?

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 77835 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 77835, than apply into the LCM equation.

GCF(77830,77835) = 5
LCM(77830,77835) = ( 77830 × 77835) / 5
LCM(77830,77835) = 6057898050 / 5
LCM(77830,77835) = 1211579610

Least Common Multiple (LCM) of 77830 and 77835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77830 and 77835. First we will calculate the prime factors of 77830 and 77835.

Prime Factorization of 77830

Prime Factorization of 77835

Now multiplying the highest exponent prime factors to calculate the LCM of 77830 and 77835.

LCM(77830,77835) = 2¹ × 5¹ × 43¹ × 181¹ × 3¹ × 5189¹
LCM(77830,77835) = 1211579610