What is the Least Common Multiple of 81825 and 81840?

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 81825 and 81840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81825 and 81840, than apply into the LCM equation.

GCF(81825,81840) = 15
LCM(81825,81840) = ( 81825 × 81840) / 15
LCM(81825,81840) = 6696558000 / 15
LCM(81825,81840) = 446437200

Least Common Multiple (LCM) of 81825 and 81840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81825 and 81840. First we will calculate the prime factors of 81825 and 81840.

Prime Factorization of 81825

Prime Factorization of 81840

Now multiplying the highest exponent prime factors to calculate the LCM of 81825 and 81840.

LCM(81825,81840) = 3¹ × 5² × 1091¹ × 2⁴ × 11¹ × 31¹
LCM(81825,81840) = 446437200