What is the Least Common Multiple of 78225 and 78230?

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 78225 and 78230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78225 and 78230, than apply into the LCM equation.

GCF(78225,78230) = 5
LCM(78225,78230) = ( 78225 × 78230) / 5
LCM(78225,78230) = 6119541750 / 5
LCM(78225,78230) = 1223908350

Least Common Multiple (LCM) of 78225 and 78230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78225 and 78230. First we will calculate the prime factors of 78225 and 78230.

Prime Factorization of 78225

Prime Factorization of 78230

Now multiplying the highest exponent prime factors to calculate the LCM of 78225 and 78230.

LCM(78225,78230) = 3¹ × 5² × 7¹ × 149¹ × 2¹ × 7823¹
LCM(78225,78230) = 1223908350