What is the Least Common Multiple of 79225 and 79240?

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 79225 and 79240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79225 and 79240, than apply into the LCM equation.

GCF(79225,79240) = 5
LCM(79225,79240) = ( 79225 × 79240) / 5
LCM(79225,79240) = 6277789000 / 5
LCM(79225,79240) = 1255557800

Least Common Multiple (LCM) of 79225 and 79240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79225 and 79240. First we will calculate the prime factors of 79225 and 79240.

Prime Factorization of 79225

Prime Factorization of 79240

Now multiplying the highest exponent prime factors to calculate the LCM of 79225 and 79240.

LCM(79225,79240) = 5² × 3169¹ × 2³ × 7¹ × 283¹
LCM(79225,79240) = 1255557800