What is the Least Common Multiple of 79240 and 79245?

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 79240 and 79245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79240 and 79245, than apply into the LCM equation.

GCF(79240,79245) = 5
LCM(79240,79245) = ( 79240 × 79245) / 5
LCM(79240,79245) = 6279373800 / 5
LCM(79240,79245) = 1255874760

Least Common Multiple (LCM) of 79240 and 79245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79240 and 79245. First we will calculate the prime factors of 79240 and 79245.

Prime Factorization of 79240

Prime Factorization of 79245

Now multiplying the highest exponent prime factors to calculate the LCM of 79240 and 79245.

LCM(79240,79245) = 2³ × 5¹ × 7¹ × 283¹ × 3³ × 587¹
LCM(79240,79245) = 1255874760