What is the Least Common Multiple of 7966 and 7973?

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 7966 and 7973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7966 and 7973, than apply into the LCM equation.

GCF(7966,7973) = 7
LCM(7966,7973) = ( 7966 × 7973) / 7
LCM(7966,7973) = 63512918 / 7
LCM(7966,7973) = 9073274

Least Common Multiple (LCM) of 7966 and 7973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7966 and 7973. First we will calculate the prime factors of 7966 and 7973.

Prime Factorization of 7966

Prime Factorization of 7973

Now multiplying the highest exponent prime factors to calculate the LCM of 7966 and 7973.

LCM(7966,7973) = 2¹ × 7¹ × 569¹ × 17¹ × 67¹
LCM(7966,7973) = 9073274