What is the Least Common Multiple of 80405 and 80414?

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 80405 and 80414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80405 and 80414, than apply into the LCM equation.

GCF(80405,80414) = 1
LCM(80405,80414) = ( 80405 × 80414) / 1
LCM(80405,80414) = 6465687670 / 1
LCM(80405,80414) = 6465687670

Least Common Multiple (LCM) of 80405 and 80414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80405 and 80414. First we will calculate the prime factors of 80405 and 80414.

Prime Factorization of 80405

Prime Factorization of 80414

Now multiplying the highest exponent prime factors to calculate the LCM of 80405 and 80414.

LCM(80405,80414) = 5¹ × 13¹ × 1237¹ × 2¹ × 31¹ × 1297¹
LCM(80405,80414) = 6465687670