What is the Least Common Multiple of 35257 and 35265?

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 35257 and 35265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35257 and 35265, than apply into the LCM equation.

GCF(35257,35265) = 1
LCM(35257,35265) = ( 35257 × 35265) / 1
LCM(35257,35265) = 1243338105 / 1
LCM(35257,35265) = 1243338105

Least Common Multiple (LCM) of 35257 and 35265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35257 and 35265. First we will calculate the prime factors of 35257 and 35265.

Prime Factorization of 35257

Prime Factorization of 35265

Now multiplying the highest exponent prime factors to calculate the LCM of 35257 and 35265.

LCM(35257,35265) = 35257¹ × 3¹ × 5¹ × 2351¹
LCM(35257,35265) = 1243338105