What is the Least Common Multiple of 80414 and 80430?

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 80414 and 80430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80414 and 80430, than apply into the LCM equation.

GCF(80414,80430) = 2
LCM(80414,80430) = ( 80414 × 80430) / 2
LCM(80414,80430) = 6467698020 / 2
LCM(80414,80430) = 3233849010

Least Common Multiple (LCM) of 80414 and 80430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80414 and 80430. First we will calculate the prime factors of 80414 and 80430.

Prime Factorization of 80414

Prime Factorization of 80430

Now multiplying the highest exponent prime factors to calculate the LCM of 80414 and 80430.

LCM(80414,80430) = 2¹ × 31¹ × 1297¹ × 3¹ × 5¹ × 7¹ × 383¹
LCM(80414,80430) = 3233849010