What is the Least Common Multiple of 81840 and 81847?

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 81840 and 81847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81840 and 81847, than apply into the LCM equation.

GCF(81840,81847) = 1
LCM(81840,81847) = ( 81840 × 81847) / 1
LCM(81840,81847) = 6698358480 / 1
LCM(81840,81847) = 6698358480

Least Common Multiple (LCM) of 81840 and 81847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81840 and 81847. First we will calculate the prime factors of 81840 and 81847.

Prime Factorization of 81840

Prime Factorization of 81847

Now multiplying the highest exponent prime factors to calculate the LCM of 81840 and 81847.

LCM(81840,81847) = 2⁴ × 3¹ × 5¹ × 11¹ × 31¹ × 81847¹
LCM(81840,81847) = 6698358480