What is the Least Common Multiple of 10254 and 10265?

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 10254 and 10265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10254 and 10265, than apply into the LCM equation.

GCF(10254,10265) = 1
LCM(10254,10265) = ( 10254 × 10265) / 1
LCM(10254,10265) = 105257310 / 1
LCM(10254,10265) = 105257310

Least Common Multiple (LCM) of 10254 and 10265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10254 and 10265. First we will calculate the prime factors of 10254 and 10265.

Prime Factorization of 10254

Prime Factorization of 10265

Now multiplying the highest exponent prime factors to calculate the LCM of 10254 and 10265.

LCM(10254,10265) = 2¹ × 3¹ × 1709¹ × 5¹ × 2053¹
LCM(10254,10265) = 105257310