What is the Least Common Multiple of 782 and 792?

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 782 and 792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 782 and 792, than apply into the LCM equation.

GCF(782,792) = 2
LCM(782,792) = ( 782 × 792) / 2
LCM(782,792) = 619344 / 2
LCM(782,792) = 309672

Least Common Multiple (LCM) of 782 and 792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 782 and 792. First we will calculate the prime factors of 782 and 792.

Prime Factorization of 782

Prime Factorization of 792

Now multiplying the highest exponent prime factors to calculate the LCM of 782 and 792.

LCM(782,792) = 2³ × 17¹ × 23¹ × 3² × 11¹
LCM(782,792) = 309672