What is the Least Common Multiple of 95880 and 95895?

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 95880 and 95895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95880 and 95895, than apply into the LCM equation.

GCF(95880,95895) = 15
LCM(95880,95895) = ( 95880 × 95895) / 15
LCM(95880,95895) = 9194412600 / 15
LCM(95880,95895) = 612960840

Least Common Multiple (LCM) of 95880 and 95895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95880 and 95895. First we will calculate the prime factors of 95880 and 95895.

Prime Factorization of 95880

Prime Factorization of 95895

Now multiplying the highest exponent prime factors to calculate the LCM of 95880 and 95895.

LCM(95880,95895) = 2³ × 3² × 5¹ × 17¹ × 47¹ × 2131¹
LCM(95880,95895) = 612960840