What is the Least Common Multiple of 77815 and 77830?

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 77815 and 77830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77815 and 77830, than apply into the LCM equation.

GCF(77815,77830) = 5
LCM(77815,77830) = ( 77815 × 77830) / 5
LCM(77815,77830) = 6056341450 / 5
LCM(77815,77830) = 1211268290

Least Common Multiple (LCM) of 77815 and 77830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77815 and 77830. First we will calculate the prime factors of 77815 and 77830.

Prime Factorization of 77815

Prime Factorization of 77830

Now multiplying the highest exponent prime factors to calculate the LCM of 77815 and 77830.

LCM(77815,77830) = 5¹ × 79¹ × 197¹ × 2¹ × 43¹ × 181¹
LCM(77815,77830) = 1211268290