What is the Least Common Multiple of 77860 and 77865?

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 77860 and 77865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77860 and 77865, than apply into the LCM equation.

GCF(77860,77865) = 5
LCM(77860,77865) = ( 77860 × 77865) / 5
LCM(77860,77865) = 6062568900 / 5
LCM(77860,77865) = 1212513780

Least Common Multiple (LCM) of 77860 and 77865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77860 and 77865. First we will calculate the prime factors of 77860 and 77865.

Prime Factorization of 77860

Prime Factorization of 77865

Now multiplying the highest exponent prime factors to calculate the LCM of 77860 and 77865.

LCM(77860,77865) = 2² × 5¹ × 17¹ × 229¹ × 3¹ × 29¹ × 179¹
LCM(77860,77865) = 1212513780