What is the Least Common Multiple of 54802 and 54818?

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 54802 and 54818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54802 and 54818, than apply into the LCM equation.

GCF(54802,54818) = 2
LCM(54802,54818) = ( 54802 × 54818) / 2
LCM(54802,54818) = 3004136036 / 2
LCM(54802,54818) = 1502068018

Least Common Multiple (LCM) of 54802 and 54818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54802 and 54818. First we will calculate the prime factors of 54802 and 54818.

Prime Factorization of 54802

Prime Factorization of 54818

Now multiplying the highest exponent prime factors to calculate the LCM of 54802 and 54818.

LCM(54802,54818) = 2¹ × 11¹ × 47¹ × 53¹ × 27409¹
LCM(54802,54818) = 1502068018