What is the Least Common Multiple of 26802 and 26821?

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 26802 and 26821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26802 and 26821, than apply into the LCM equation.

GCF(26802,26821) = 1
LCM(26802,26821) = ( 26802 × 26821) / 1
LCM(26802,26821) = 718856442 / 1
LCM(26802,26821) = 718856442

Least Common Multiple (LCM) of 26802 and 26821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26802 and 26821. First we will calculate the prime factors of 26802 and 26821.

Prime Factorization of 26802

Prime Factorization of 26821

Now multiplying the highest exponent prime factors to calculate the LCM of 26802 and 26821.

LCM(26802,26821) = 2¹ × 3² × 1489¹ × 26821¹
LCM(26802,26821) = 718856442