What is the Least Common Multiple of 95945 and 95953?

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 95945 and 95953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95945 and 95953, than apply into the LCM equation.

GCF(95945,95953) = 1
LCM(95945,95953) = ( 95945 × 95953) / 1
LCM(95945,95953) = 9206210585 / 1
LCM(95945,95953) = 9206210585

Least Common Multiple (LCM) of 95945 and 95953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95945 and 95953. First we will calculate the prime factors of 95945 and 95953.

Prime Factorization of 95945

Prime Factorization of 95953

Now multiplying the highest exponent prime factors to calculate the LCM of 95945 and 95953.

LCM(95945,95953) = 5¹ × 31¹ × 619¹ × 11² × 13¹ × 61¹
LCM(95945,95953) = 9206210585