What is the Least Common Multiple of 25209 and 25220?

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 25209 and 25220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25209 and 25220, than apply into the LCM equation.

GCF(25209,25220) = 1
LCM(25209,25220) = ( 25209 × 25220) / 1
LCM(25209,25220) = 635770980 / 1
LCM(25209,25220) = 635770980

Least Common Multiple (LCM) of 25209 and 25220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25209 and 25220. First we will calculate the prime factors of 25209 and 25220.

Prime Factorization of 25209

Prime Factorization of 25220

Now multiplying the highest exponent prime factors to calculate the LCM of 25209 and 25220.

LCM(25209,25220) = 3² × 2801¹ × 2² × 5¹ × 13¹ × 97¹
LCM(25209,25220) = 635770980