What is the Least Common Multiple of 7780 and 7792?

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 7780 and 7792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7780 and 7792, than apply into the LCM equation.

GCF(7780,7792) = 4
LCM(7780,7792) = ( 7780 × 7792) / 4
LCM(7780,7792) = 60621760 / 4
LCM(7780,7792) = 15155440

Least Common Multiple (LCM) of 7780 and 7792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7780 and 7792. First we will calculate the prime factors of 7780 and 7792.

Prime Factorization of 7780

Prime Factorization of 7792

Now multiplying the highest exponent prime factors to calculate the LCM of 7780 and 7792.

LCM(7780,7792) = 2⁴ × 5¹ × 389¹ × 487¹
LCM(7780,7792) = 15155440