What is the Least Common Multiple of 25265 and 25285?

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 25265 and 25285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25265 and 25285, than apply into the LCM equation.

GCF(25265,25285) = 5
LCM(25265,25285) = ( 25265 × 25285) / 5
LCM(25265,25285) = 638825525 / 5
LCM(25265,25285) = 127765105

Least Common Multiple (LCM) of 25265 and 25285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25265 and 25285. First we will calculate the prime factors of 25265 and 25285.

Prime Factorization of 25265

Prime Factorization of 25285

Now multiplying the highest exponent prime factors to calculate the LCM of 25265 and 25285.

LCM(25265,25285) = 5¹ × 31¹ × 163¹ × 13¹ × 389¹
LCM(25265,25285) = 127765105