What is the Least Common Multiple of 95708 and 95722?

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 95708 and 95722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95708 and 95722, than apply into the LCM equation.

GCF(95708,95722) = 2
LCM(95708,95722) = ( 95708 × 95722) / 2
LCM(95708,95722) = 9161361176 / 2
LCM(95708,95722) = 4580680588

Least Common Multiple (LCM) of 95708 and 95722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95708 and 95722. First we will calculate the prime factors of 95708 and 95722.

Prime Factorization of 95708

Prime Factorization of 95722

Now multiplying the highest exponent prime factors to calculate the LCM of 95708 and 95722.

LCM(95708,95722) = 2² × 71¹ × 337¹ × 11¹ × 19¹ × 229¹
LCM(95708,95722) = 4580680588