What is the Least Common Multiple of 60204 and 60224?

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 60204 and 60224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60204 and 60224, than apply into the LCM equation.

GCF(60204,60224) = 4
LCM(60204,60224) = ( 60204 × 60224) / 4
LCM(60204,60224) = 3625725696 / 4
LCM(60204,60224) = 906431424

Least Common Multiple (LCM) of 60204 and 60224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60204 and 60224. First we will calculate the prime factors of 60204 and 60224.

Prime Factorization of 60204

Prime Factorization of 60224

Now multiplying the highest exponent prime factors to calculate the LCM of 60204 and 60224.

LCM(60204,60224) = 2⁶ × 3¹ × 29¹ × 173¹ × 941¹
LCM(60204,60224) = 906431424