What is the Least Common Multiple of 56802 and 56811?

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 56802 and 56811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56802 and 56811, than apply into the LCM equation.

GCF(56802,56811) = 3
LCM(56802,56811) = ( 56802 × 56811) / 3
LCM(56802,56811) = 3226978422 / 3
LCM(56802,56811) = 1075659474

Least Common Multiple (LCM) of 56802 and 56811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56802 and 56811. First we will calculate the prime factors of 56802 and 56811.

Prime Factorization of 56802

Prime Factorization of 56811

Now multiplying the highest exponent prime factors to calculate the LCM of 56802 and 56811.

LCM(56802,56811) = 2¹ × 3¹ × 9467¹ × 29¹ × 653¹
LCM(56802,56811) = 1075659474