What is the Least Common Multiple of 55782 and 55801?

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 55782 and 55801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55782 and 55801, than apply into the LCM equation.

GCF(55782,55801) = 1
LCM(55782,55801) = ( 55782 × 55801) / 1
LCM(55782,55801) = 3112691382 / 1
LCM(55782,55801) = 3112691382

Least Common Multiple (LCM) of 55782 and 55801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55782 and 55801. First we will calculate the prime factors of 55782 and 55801.

Prime Factorization of 55782

Prime Factorization of 55801

Now multiplying the highest exponent prime factors to calculate the LCM of 55782 and 55801.

LCM(55782,55801) = 2¹ × 3³ × 1033¹ × 41¹ × 1361¹
LCM(55782,55801) = 3112691382