What is the Least Common Multiple of 95507 and 95525?

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 95507 and 95525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95507 and 95525, than apply into the LCM equation.

GCF(95507,95525) = 1
LCM(95507,95525) = ( 95507 × 95525) / 1
LCM(95507,95525) = 9123306175 / 1
LCM(95507,95525) = 9123306175

Least Common Multiple (LCM) of 95507 and 95525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95507 and 95525. First we will calculate the prime factors of 95507 and 95525.

Prime Factorization of 95507

Prime Factorization of 95525

Now multiplying the highest exponent prime factors to calculate the LCM of 95507 and 95525.

LCM(95507,95525) = 95507¹ × 5² × 3821¹
LCM(95507,95525) = 9123306175