What is the Least Common Multiple of 73205 and 73225?

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 73225 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 73225, than apply into the LCM equation.

GCF(73205,73225) = 5
LCM(73205,73225) = ( 73205 × 73225) / 5
LCM(73205,73225) = 5360436125 / 5
LCM(73205,73225) = 1072087225

Least Common Multiple (LCM) of 73205 and 73225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73205 and 73225. First we will calculate the prime factors of 73205 and 73225.

Prime Factorization of 73205

Prime Factorization of 73225

Now multiplying the highest exponent prime factors to calculate the LCM of 73205 and 73225.

LCM(73205,73225) = 5² × 11⁴ × 29¹ × 101¹
LCM(73205,73225) = 1072087225