What is the Least Common Multiple of 25305 and 25312?

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 25312 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 25312, than apply into the LCM equation.

GCF(25305,25312) = 7
LCM(25305,25312) = ( 25305 × 25312) / 7
LCM(25305,25312) = 640520160 / 7
LCM(25305,25312) = 91502880

Least Common Multiple (LCM) of 25305 and 25312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25305 and 25312. First we will calculate the prime factors of 25305 and 25312.

Prime Factorization of 25305

Prime Factorization of 25312

Now multiplying the highest exponent prime factors to calculate the LCM of 25305 and 25312.

LCM(25305,25312) = 3¹ × 5¹ × 7¹ × 241¹ × 2⁵ × 113¹
LCM(25305,25312) = 91502880