What is the Least Common Multiple of 21604 and 21620?

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 21604 and 21620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21604 and 21620, than apply into the LCM equation.

GCF(21604,21620) = 4
LCM(21604,21620) = ( 21604 × 21620) / 4
LCM(21604,21620) = 467078480 / 4
LCM(21604,21620) = 116769620

Least Common Multiple (LCM) of 21604 and 21620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21604 and 21620. First we will calculate the prime factors of 21604 and 21620.

Prime Factorization of 21604

Prime Factorization of 21620

Now multiplying the highest exponent prime factors to calculate the LCM of 21604 and 21620.

LCM(21604,21620) = 2² × 11¹ × 491¹ × 5¹ × 23¹ × 47¹
LCM(21604,21620) = 116769620