What is the Least Common Multiple of 53205 and 53215?

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 53205 and 53215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53205 and 53215, than apply into the LCM equation.

GCF(53205,53215) = 5
LCM(53205,53215) = ( 53205 × 53215) / 5
LCM(53205,53215) = 2831304075 / 5
LCM(53205,53215) = 566260815

Least Common Multiple (LCM) of 53205 and 53215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53205 and 53215. First we will calculate the prime factors of 53205 and 53215.

Prime Factorization of 53205

Prime Factorization of 53215

Now multiplying the highest exponent prime factors to calculate the LCM of 53205 and 53215.

LCM(53205,53215) = 3¹ × 5¹ × 3547¹ × 29¹ × 367¹
LCM(53205,53215) = 566260815