What is the Least Common Multiple of 73205 and 73221?

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 73205 and 73221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73205 and 73221, than apply into the LCM equation.

GCF(73205,73221) = 1
LCM(73205,73221) = ( 73205 × 73221) / 1
LCM(73205,73221) = 5360143305 / 1
LCM(73205,73221) = 5360143305

Least Common Multiple (LCM) of 73205 and 73221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73205 and 73221. First we will calculate the prime factors of 73205 and 73221.

Prime Factorization of 73205

Prime Factorization of 73221

Now multiplying the highest exponent prime factors to calculate the LCM of 73205 and 73221.

LCM(73205,73221) = 5¹ × 11⁴ × 3¹ × 24407¹
LCM(73205,73221) = 5360143305