What is the Least Common Multiple of 85966 and 85973?

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 85966 and 85973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85966 and 85973, than apply into the LCM equation.

GCF(85966,85973) = 1
LCM(85966,85973) = ( 85966 × 85973) / 1
LCM(85966,85973) = 7390754918 / 1
LCM(85966,85973) = 7390754918

Least Common Multiple (LCM) of 85966 and 85973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85966 and 85973. First we will calculate the prime factors of 85966 and 85973.

Prime Factorization of 85966

Prime Factorization of 85973

Now multiplying the highest exponent prime factors to calculate the LCM of 85966 and 85973.

LCM(85966,85973) = 2¹ × 53¹ × 811¹ × 149¹ × 577¹
LCM(85966,85973) = 7390754918