What is the Least Common Multiple of 53185 and 53205?

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 53185 and 53205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53185 and 53205, than apply into the LCM equation.

GCF(53185,53205) = 5
LCM(53185,53205) = ( 53185 × 53205) / 5
LCM(53185,53205) = 2829707925 / 5
LCM(53185,53205) = 565941585

Least Common Multiple (LCM) of 53185 and 53205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53185 and 53205. First we will calculate the prime factors of 53185 and 53205.

Prime Factorization of 53185

Prime Factorization of 53205

Now multiplying the highest exponent prime factors to calculate the LCM of 53185 and 53205.

LCM(53185,53205) = 5¹ × 11¹ × 967¹ × 3¹ × 3547¹
LCM(53185,53205) = 565941585