What is the Least Common Multiple of 78230 and 78235?

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 78230 and 78235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78230 and 78235, than apply into the LCM equation.

GCF(78230,78235) = 5
LCM(78230,78235) = ( 78230 × 78235) / 5
LCM(78230,78235) = 6120324050 / 5
LCM(78230,78235) = 1224064810

Least Common Multiple (LCM) of 78230 and 78235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78230 and 78235. First we will calculate the prime factors of 78230 and 78235.

Prime Factorization of 78230

Prime Factorization of 78235

Now multiplying the highest exponent prime factors to calculate the LCM of 78230 and 78235.

LCM(78230,78235) = 2¹ × 5¹ × 7823¹ × 15647¹
LCM(78230,78235) = 1224064810