What is the Least Common Multiple of 53205 and 53210?

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 53210 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 53210, than apply into the LCM equation.

GCF(53205,53210) = 5
LCM(53205,53210) = ( 53205 × 53210) / 5
LCM(53205,53210) = 2831038050 / 5
LCM(53205,53210) = 566207610

Least Common Multiple (LCM) of 53205 and 53210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53205 and 53210. First we will calculate the prime factors of 53205 and 53210.

Prime Factorization of 53205

Prime Factorization of 53210

Now multiplying the highest exponent prime factors to calculate the LCM of 53205 and 53210.

LCM(53205,53210) = 3¹ × 5¹ × 3547¹ × 2¹ × 17¹ × 313¹
LCM(53205,53210) = 566207610