What is the Least Common Multiple of 95711 and 95715?

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 95711 and 95715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95711 and 95715, than apply into the LCM equation.

GCF(95711,95715) = 1
LCM(95711,95715) = ( 95711 × 95715) / 1
LCM(95711,95715) = 9160978365 / 1
LCM(95711,95715) = 9160978365

Least Common Multiple (LCM) of 95711 and 95715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95711 and 95715. First we will calculate the prime factors of 95711 and 95715.

Prime Factorization of 95711

Prime Factorization of 95715

Now multiplying the highest exponent prime factors to calculate the LCM of 95711 and 95715.

LCM(95711,95715) = 7¹ × 11² × 113¹ × 3³ × 5¹ × 709¹
LCM(95711,95715) = 9160978365