What is the Least Common Multiple of 28204 and 28210?

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 28204 and 28210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28204 and 28210, than apply into the LCM equation.

GCF(28204,28210) = 2
LCM(28204,28210) = ( 28204 × 28210) / 2
LCM(28204,28210) = 795634840 / 2
LCM(28204,28210) = 397817420

Least Common Multiple (LCM) of 28204 and 28210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28204 and 28210. First we will calculate the prime factors of 28204 and 28210.

Prime Factorization of 28204

Prime Factorization of 28210

Now multiplying the highest exponent prime factors to calculate the LCM of 28204 and 28210.

LCM(28204,28210) = 2² × 11¹ × 641¹ × 5¹ × 7¹ × 13¹ × 31¹
LCM(28204,28210) = 397817420