What is the Least Common Multiple of 29410 and 29416?

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 29410 and 29416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29410 and 29416, than apply into the LCM equation.

GCF(29410,29416) = 2
LCM(29410,29416) = ( 29410 × 29416) / 2
LCM(29410,29416) = 865124560 / 2
LCM(29410,29416) = 432562280

Least Common Multiple (LCM) of 29410 and 29416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29410 and 29416. First we will calculate the prime factors of 29410 and 29416.

Prime Factorization of 29410

Prime Factorization of 29416

Now multiplying the highest exponent prime factors to calculate the LCM of 29410 and 29416.

LCM(29410,29416) = 2³ × 5¹ × 17¹ × 173¹ × 3677¹
LCM(29410,29416) = 432562280