What is the Least Common Multiple of 95850 and 95856?

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 95856 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 95856, than apply into the LCM equation.

GCF(95850,95856) = 6
LCM(95850,95856) = ( 95850 × 95856) / 6
LCM(95850,95856) = 9187797600 / 6
LCM(95850,95856) = 1531299600

Least Common Multiple (LCM) of 95850 and 95856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95850 and 95856. First we will calculate the prime factors of 95850 and 95856.

Prime Factorization of 95850

Prime Factorization of 95856

Now multiplying the highest exponent prime factors to calculate the LCM of 95850 and 95856.

LCM(95850,95856) = 2⁴ × 3³ × 5² × 71¹ × 1997¹
LCM(95850,95856) = 1531299600