What is the Least Common Multiple of 32404 and 32420?

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 32404 and 32420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32404 and 32420, than apply into the LCM equation.

GCF(32404,32420) = 4
LCM(32404,32420) = ( 32404 × 32420) / 4
LCM(32404,32420) = 1050537680 / 4
LCM(32404,32420) = 262634420

Least Common Multiple (LCM) of 32404 and 32420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32404 and 32420. First we will calculate the prime factors of 32404 and 32420.

Prime Factorization of 32404

Prime Factorization of 32420

Now multiplying the highest exponent prime factors to calculate the LCM of 32404 and 32420.

LCM(32404,32420) = 2² × 8101¹ × 5¹ × 1621¹
LCM(32404,32420) = 262634420