What is the Least Common Multiple of 73205 and 73223?

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 73223 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 73223, than apply into the LCM equation.

GCF(73205,73223) = 1
LCM(73205,73223) = ( 73205 × 73223) / 1
LCM(73205,73223) = 5360289715 / 1
LCM(73205,73223) = 5360289715

Least Common Multiple (LCM) of 73205 and 73223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73205 and 73223. First we will calculate the prime factors of 73205 and 73223.

Prime Factorization of 73205

Prime Factorization of 73223

Now multiplying the highest exponent prime factors to calculate the LCM of 73205 and 73223.

LCM(73205,73223) = 5¹ × 11⁴ × 37¹ × 1979¹
LCM(73205,73223) = 5360289715