What is the Least Common Multiple of 80457 and 80467?

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 80467 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 80467, than apply into the LCM equation.

GCF(80457,80467) = 1
LCM(80457,80467) = ( 80457 × 80467) / 1
LCM(80457,80467) = 6474133419 / 1
LCM(80457,80467) = 6474133419

Least Common Multiple (LCM) of 80457 and 80467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80457 and 80467. First we will calculate the prime factors of 80457 and 80467.

Prime Factorization of 80457

Prime Factorization of 80467

Now multiplying the highest exponent prime factors to calculate the LCM of 80457 and 80467.

LCM(80457,80467) = 3¹ × 13¹ × 2063¹ × 67¹ × 1201¹
LCM(80457,80467) = 6474133419