What is the Least Common Multiple of 52802 and 52821?

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 52802 and 52821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52802 and 52821, than apply into the LCM equation.

GCF(52802,52821) = 1
LCM(52802,52821) = ( 52802 × 52821) / 1
LCM(52802,52821) = 2789054442 / 1
LCM(52802,52821) = 2789054442

Least Common Multiple (LCM) of 52802 and 52821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52802 and 52821. First we will calculate the prime factors of 52802 and 52821.

Prime Factorization of 52802

Prime Factorization of 52821

Now multiplying the highest exponent prime factors to calculate the LCM of 52802 and 52821.

LCM(52802,52821) = 2¹ × 17¹ × 1553¹ × 3² × 5869¹
LCM(52802,52821) = 2789054442