What is the Least Common Multiple of 7792 and 7810?

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 7792 and 7810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7792 and 7810, than apply into the LCM equation.

GCF(7792,7810) = 2
LCM(7792,7810) = ( 7792 × 7810) / 2
LCM(7792,7810) = 60855520 / 2
LCM(7792,7810) = 30427760

Least Common Multiple (LCM) of 7792 and 7810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7792 and 7810. First we will calculate the prime factors of 7792 and 7810.

Prime Factorization of 7792

Prime Factorization of 7810

Now multiplying the highest exponent prime factors to calculate the LCM of 7792 and 7810.

LCM(7792,7810) = 2⁴ × 487¹ × 5¹ × 11¹ × 71¹
LCM(7792,7810) = 30427760