What is the Least Common Multiple of 60782 and 60791?

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 60782 and 60791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60782 and 60791, than apply into the LCM equation.

GCF(60782,60791) = 1
LCM(60782,60791) = ( 60782 × 60791) / 1
LCM(60782,60791) = 3694998562 / 1
LCM(60782,60791) = 3694998562

Least Common Multiple (LCM) of 60782 and 60791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60782 and 60791. First we will calculate the prime factors of 60782 and 60791.

Prime Factorization of 60782

Prime Factorization of 60791

Now multiplying the highest exponent prime factors to calculate the LCM of 60782 and 60791.

LCM(60782,60791) = 2¹ × 30391¹ × 31¹ × 37¹ × 53¹
LCM(60782,60791) = 3694998562