What is the Least Common Multiple of 93825 and 93834?

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 93825 and 93834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93825 and 93834, than apply into the LCM equation.

GCF(93825,93834) = 9
LCM(93825,93834) = ( 93825 × 93834) / 9
LCM(93825,93834) = 8803975050 / 9
LCM(93825,93834) = 978219450

Least Common Multiple (LCM) of 93825 and 93834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93825 and 93834. First we will calculate the prime factors of 93825 and 93834.

Prime Factorization of 93825

Prime Factorization of 93834

Now multiplying the highest exponent prime factors to calculate the LCM of 93825 and 93834.

LCM(93825,93834) = 3³ × 5² × 139¹ × 2¹ × 13¹ × 401¹
LCM(93825,93834) = 978219450