What is the Least Common Multiple of 65967 and 65973?

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 65967 and 65973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65967 and 65973, than apply into the LCM equation.

GCF(65967,65973) = 3
LCM(65967,65973) = ( 65967 × 65973) / 3
LCM(65967,65973) = 4352040891 / 3
LCM(65967,65973) = 1450680297

Least Common Multiple (LCM) of 65967 and 65973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65967 and 65973. First we will calculate the prime factors of 65967 and 65973.

Prime Factorization of 65967

Prime Factorization of 65973

Now multiplying the highest exponent prime factors to calculate the LCM of 65967 and 65973.

LCM(65967,65973) = 3¹ × 11¹ × 1999¹ × 21991¹
LCM(65967,65973) = 1450680297