What is the Least Common Multiple of 84409 and 84414?

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 84409 and 84414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84409 and 84414, than apply into the LCM equation.

GCF(84409,84414) = 1
LCM(84409,84414) = ( 84409 × 84414) / 1
LCM(84409,84414) = 7125301326 / 1
LCM(84409,84414) = 7125301326

Least Common Multiple (LCM) of 84409 and 84414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84409 and 84414. First we will calculate the prime factors of 84409 and 84414.

Prime Factorization of 84409

Prime Factorization of 84414

Now multiplying the highest exponent prime factors to calculate the LCM of 84409 and 84414.

LCM(84409,84414) = 13¹ × 43¹ × 151¹ × 2¹ × 3¹ × 11¹ × 1279¹
LCM(84409,84414) = 7125301326