What is the Least Common Multiple of 91966 and 91973?

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 91966 and 91973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91966 and 91973, than apply into the LCM equation.

GCF(91966,91973) = 7
LCM(91966,91973) = ( 91966 × 91973) / 7
LCM(91966,91973) = 8458388918 / 7
LCM(91966,91973) = 1208341274

Least Common Multiple (LCM) of 91966 and 91973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91966 and 91973. First we will calculate the prime factors of 91966 and 91973.

Prime Factorization of 91966

Prime Factorization of 91973

Now multiplying the highest exponent prime factors to calculate the LCM of 91966 and 91973.

LCM(91966,91973) = 2¹ × 7² × 6569¹ × 1877¹
LCM(91966,91973) = 1208341274