What is the Least Common Multiple of 29408 and 29420?

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 29408 and 29420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29408 and 29420, than apply into the LCM equation.

GCF(29408,29420) = 4
LCM(29408,29420) = ( 29408 × 29420) / 4
LCM(29408,29420) = 865183360 / 4
LCM(29408,29420) = 216295840

Least Common Multiple (LCM) of 29408 and 29420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29408 and 29420. First we will calculate the prime factors of 29408 and 29420.

Prime Factorization of 29408

Prime Factorization of 29420

Now multiplying the highest exponent prime factors to calculate the LCM of 29408 and 29420.

LCM(29408,29420) = 2⁵ × 919¹ × 5¹ × 1471¹
LCM(29408,29420) = 216295840