What is the Least Common Multiple of 53802 and 53809?

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 53802 and 53809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53802 and 53809, than apply into the LCM equation.

GCF(53802,53809) = 7
LCM(53802,53809) = ( 53802 × 53809) / 7
LCM(53802,53809) = 2895031818 / 7
LCM(53802,53809) = 413575974

Least Common Multiple (LCM) of 53802 and 53809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53802 and 53809. First we will calculate the prime factors of 53802 and 53809.

Prime Factorization of 53802

Prime Factorization of 53809

Now multiplying the highest exponent prime factors to calculate the LCM of 53802 and 53809.

LCM(53802,53809) = 2¹ × 3² × 7² × 61¹ × 7687¹
LCM(53802,53809) = 413575974