What is the Least Common Multiple of 95515 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 95515 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 95515 and 95525, than apply into the LCM equation.

GCF(95515,95525) = 5
LCM(95515,95525) = ( 95515 × 95525) / 5
LCM(95515,95525) = 9124070375 / 5
LCM(95515,95525) = 1824814075

Least Common Multiple (LCM) of 95515 and 95525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95515 and 95525. First we will calculate the prime factors of 95515 and 95525.

Prime Factorization of 95515

Prime Factorization of 95525

Now multiplying the highest exponent prime factors to calculate the LCM of 95515 and 95525.

LCM(95515,95525) = 5² × 7¹ × 2729¹ × 3821¹
LCM(95515,95525) = 1824814075