What is the Least Common Multiple of 95850 and 95864?

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 95850 and 95864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95850 and 95864, than apply into the LCM equation.

GCF(95850,95864) = 2
LCM(95850,95864) = ( 95850 × 95864) / 2
LCM(95850,95864) = 9188564400 / 2
LCM(95850,95864) = 4594282200

Least Common Multiple (LCM) of 95850 and 95864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95850 and 95864. First we will calculate the prime factors of 95850 and 95864.

Prime Factorization of 95850

Prime Factorization of 95864

Now multiplying the highest exponent prime factors to calculate the LCM of 95850 and 95864.

LCM(95850,95864) = 2³ × 3³ × 5² × 71¹ × 23¹ × 521¹
LCM(95850,95864) = 4594282200