What is the Least Common Multiple of 53340 and 53350?

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 53340 and 53350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53340 and 53350, than apply into the LCM equation.

GCF(53340,53350) = 10
LCM(53340,53350) = ( 53340 × 53350) / 10
LCM(53340,53350) = 2845689000 / 10
LCM(53340,53350) = 284568900

Least Common Multiple (LCM) of 53340 and 53350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53340 and 53350. First we will calculate the prime factors of 53340 and 53350.

Prime Factorization of 53340

Prime Factorization of 53350

Now multiplying the highest exponent prime factors to calculate the LCM of 53340 and 53350.

LCM(53340,53350) = 2² × 3¹ × 5² × 7¹ × 127¹ × 11¹ × 97¹
LCM(53340,53350) = 284568900