What is the Least Common Multiple of 80457 and 80466?

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 80457 and 80466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80457 and 80466, than apply into the LCM equation.

GCF(80457,80466) = 3
LCM(80457,80466) = ( 80457 × 80466) / 3
LCM(80457,80466) = 6474052962 / 3
LCM(80457,80466) = 2158017654

Least Common Multiple (LCM) of 80457 and 80466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80457 and 80466. First we will calculate the prime factors of 80457 and 80466.

Prime Factorization of 80457

Prime Factorization of 80466

Now multiplying the highest exponent prime factors to calculate the LCM of 80457 and 80466.

LCM(80457,80466) = 3¹ × 13¹ × 2063¹ × 2¹ × 13411¹
LCM(80457,80466) = 2158017654