What is the Least Common Multiple of 83410 and 83414?

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 83410 and 83414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83410 and 83414, than apply into the LCM equation.

GCF(83410,83414) = 2
LCM(83410,83414) = ( 83410 × 83414) / 2
LCM(83410,83414) = 6957561740 / 2
LCM(83410,83414) = 3478780870

Least Common Multiple (LCM) of 83410 and 83414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83410 and 83414. First we will calculate the prime factors of 83410 and 83414.

Prime Factorization of 83410

Prime Factorization of 83414

Now multiplying the highest exponent prime factors to calculate the LCM of 83410 and 83414.

LCM(83410,83414) = 2¹ × 5¹ × 19¹ × 439¹ × 179¹ × 233¹
LCM(83410,83414) = 3478780870