What is the Least Common Multiple of 78280 and 78287?

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 78280 and 78287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78280 and 78287, than apply into the LCM equation.

GCF(78280,78287) = 1
LCM(78280,78287) = ( 78280 × 78287) / 1
LCM(78280,78287) = 6128306360 / 1
LCM(78280,78287) = 6128306360

Least Common Multiple (LCM) of 78280 and 78287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78280 and 78287. First we will calculate the prime factors of 78280 and 78287.

Prime Factorization of 78280

Prime Factorization of 78287

Now multiplying the highest exponent prime factors to calculate the LCM of 78280 and 78287.

LCM(78280,78287) = 2³ × 5¹ × 19¹ × 103¹ × 11² × 647¹
LCM(78280,78287) = 6128306360