What is the Least Common Multiple of 25305 and 25320?

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 25305 and 25320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25305 and 25320, than apply into the LCM equation.

GCF(25305,25320) = 15
LCM(25305,25320) = ( 25305 × 25320) / 15
LCM(25305,25320) = 640722600 / 15
LCM(25305,25320) = 42714840

Least Common Multiple (LCM) of 25305 and 25320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25305 and 25320. First we will calculate the prime factors of 25305 and 25320.

Prime Factorization of 25305

Prime Factorization of 25320

Now multiplying the highest exponent prime factors to calculate the LCM of 25305 and 25320.

LCM(25305,25320) = 3¹ × 5¹ × 7¹ × 241¹ × 2³ × 211¹
LCM(25305,25320) = 42714840