What is the Least Common Multiple of 782 and 799?

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 799 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 799, than apply into the LCM equation.

GCF(782,799) = 17
LCM(782,799) = ( 782 × 799) / 17
LCM(782,799) = 624818 / 17
LCM(782,799) = 36754

Least Common Multiple (LCM) of 782 and 799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 782 and 799. First we will calculate the prime factors of 782 and 799.

Prime Factorization of 782

Prime Factorization of 799

Now multiplying the highest exponent prime factors to calculate the LCM of 782 and 799.

LCM(782,799) = 2¹ × 17¹ × 23¹ × 47¹
LCM(782,799) = 36754