What is the Least Common Multiple of 81840 and 81848?

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 81848 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 81848, than apply into the LCM equation.

GCF(81840,81848) = 8
LCM(81840,81848) = ( 81840 × 81848) / 8
LCM(81840,81848) = 6698440320 / 8
LCM(81840,81848) = 837305040

Least Common Multiple (LCM) of 81840 and 81848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81840 and 81848. First we will calculate the prime factors of 81840 and 81848.

Prime Factorization of 81840

Prime Factorization of 81848

Now multiplying the highest exponent prime factors to calculate the LCM of 81840 and 81848.

LCM(81840,81848) = 2⁴ × 3¹ × 5¹ × 11¹ × 31¹ × 13¹ × 787¹
LCM(81840,81848) = 837305040