What is the Least Common Multiple of 77846 and 77860?

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 77846 and 77860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77846 and 77860, than apply into the LCM equation.

GCF(77846,77860) = 2
LCM(77846,77860) = ( 77846 × 77860) / 2
LCM(77846,77860) = 6061089560 / 2
LCM(77846,77860) = 3030544780

Least Common Multiple (LCM) of 77846 and 77860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77846 and 77860. First we will calculate the prime factors of 77846 and 77860.

Prime Factorization of 77846

Prime Factorization of 77860

Now multiplying the highest exponent prime factors to calculate the LCM of 77846 and 77860.

LCM(77846,77860) = 2² × 38923¹ × 5¹ × 17¹ × 229¹
LCM(77846,77860) = 3030544780