What is the Least Common Multiple of 29398 and 29410?

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 29398 and 29410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29398 and 29410, than apply into the LCM equation.

GCF(29398,29410) = 2
LCM(29398,29410) = ( 29398 × 29410) / 2
LCM(29398,29410) = 864595180 / 2
LCM(29398,29410) = 432297590

Least Common Multiple (LCM) of 29398 and 29410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29398 and 29410. First we will calculate the prime factors of 29398 and 29410.

Prime Factorization of 29398

Prime Factorization of 29410

Now multiplying the highest exponent prime factors to calculate the LCM of 29398 and 29410.

LCM(29398,29410) = 2¹ × 14699¹ × 5¹ × 17¹ × 173¹
LCM(29398,29410) = 432297590