What is the Least Common Multiple of 78205 and 78225?

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 78205 and 78225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78205 and 78225, than apply into the LCM equation.

GCF(78205,78225) = 5
LCM(78205,78225) = ( 78205 × 78225) / 5
LCM(78205,78225) = 6117586125 / 5
LCM(78205,78225) = 1223517225

Least Common Multiple (LCM) of 78205 and 78225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78205 and 78225. First we will calculate the prime factors of 78205 and 78225.

Prime Factorization of 78205

Prime Factorization of 78225

Now multiplying the highest exponent prime factors to calculate the LCM of 78205 and 78225.

LCM(78205,78225) = 5² × 15641¹ × 3¹ × 7¹ × 149¹
LCM(78205,78225) = 1223517225