What is the Least Common Multiple of 79240 and 79253?

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 79253 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 79253, than apply into the LCM equation.

GCF(79240,79253) = 1
LCM(79240,79253) = ( 79240 × 79253) / 1
LCM(79240,79253) = 6280007720 / 1
LCM(79240,79253) = 6280007720

Least Common Multiple (LCM) of 79240 and 79253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79240 and 79253. First we will calculate the prime factors of 79240 and 79253.

Prime Factorization of 79240

Prime Factorization of 79253

Now multiplying the highest exponent prime factors to calculate the LCM of 79240 and 79253.

LCM(79240,79253) = 2³ × 5¹ × 7¹ × 283¹ × 41¹ × 1933¹
LCM(79240,79253) = 6280007720