What is the Least Common Multiple of 95850 and 95869?

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 95869 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 95869, than apply into the LCM equation.

GCF(95850,95869) = 1
LCM(95850,95869) = ( 95850 × 95869) / 1
LCM(95850,95869) = 9189043650 / 1
LCM(95850,95869) = 9189043650

Least Common Multiple (LCM) of 95850 and 95869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95850 and 95869. First we will calculate the prime factors of 95850 and 95869.

Prime Factorization of 95850

Prime Factorization of 95869

Now multiplying the highest exponent prime factors to calculate the LCM of 95850 and 95869.

LCM(95850,95869) = 2¹ × 3³ × 5² × 71¹ × 95869¹
LCM(95850,95869) = 9189043650