What is the Least Common Multiple of 95706 and 95712?

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 95706 and 95712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95706 and 95712, than apply into the LCM equation.

GCF(95706,95712) = 6
LCM(95706,95712) = ( 95706 × 95712) / 6
LCM(95706,95712) = 9160212672 / 6
LCM(95706,95712) = 1526702112

Least Common Multiple (LCM) of 95706 and 95712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95706 and 95712. First we will calculate the prime factors of 95706 and 95712.

Prime Factorization of 95706

Prime Factorization of 95712

Now multiplying the highest exponent prime factors to calculate the LCM of 95706 and 95712.

LCM(95706,95712) = 2⁵ × 3² × 13¹ × 409¹ × 997¹
LCM(95706,95712) = 1526702112