What is the Least Common Multiple of 79280 and 79291?

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 79280 and 79291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79280 and 79291, than apply into the LCM equation.

GCF(79280,79291) = 1
LCM(79280,79291) = ( 79280 × 79291) / 1
LCM(79280,79291) = 6286190480 / 1
LCM(79280,79291) = 6286190480

Least Common Multiple (LCM) of 79280 and 79291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79280 and 79291. First we will calculate the prime factors of 79280 and 79291.

Prime Factorization of 79280

Prime Factorization of 79291

Now multiplying the highest exponent prime factors to calculate the LCM of 79280 and 79291.

LCM(79280,79291) = 2⁴ × 5¹ × 991¹ × 37¹ × 2143¹
LCM(79280,79291) = 6286190480