What is the Least Common Multiple of 60764 and 60782?

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 60764 and 60782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60764 and 60782, than apply into the LCM equation.

GCF(60764,60782) = 2
LCM(60764,60782) = ( 60764 × 60782) / 2
LCM(60764,60782) = 3693357448 / 2
LCM(60764,60782) = 1846678724

Least Common Multiple (LCM) of 60764 and 60782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60764 and 60782. First we will calculate the prime factors of 60764 and 60782.

Prime Factorization of 60764

Prime Factorization of 60782

Now multiplying the highest exponent prime factors to calculate the LCM of 60764 and 60782.

LCM(60764,60782) = 2² × 11¹ × 1381¹ × 30391¹
LCM(60764,60782) = 1846678724