What is the Least Common Multiple of 82753 and 82773?

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 82753 and 82773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82753 and 82773, than apply into the LCM equation.

GCF(82753,82773) = 1
LCM(82753,82773) = ( 82753 × 82773) / 1
LCM(82753,82773) = 6849714069 / 1
LCM(82753,82773) = 6849714069

Least Common Multiple (LCM) of 82753 and 82773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82753 and 82773. First we will calculate the prime factors of 82753 and 82773.

Prime Factorization of 82753

Prime Factorization of 82773

Now multiplying the highest exponent prime factors to calculate the LCM of 82753 and 82773.

LCM(82753,82773) = 11¹ × 7523¹ × 3² × 17¹ × 541¹
LCM(82753,82773) = 6849714069