What is the Least Common Multiple of 48853 and 48860?

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 48853 and 48860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48853 and 48860, than apply into the LCM equation.

GCF(48853,48860) = 7
LCM(48853,48860) = ( 48853 × 48860) / 7
LCM(48853,48860) = 2386957580 / 7
LCM(48853,48860) = 340993940

Least Common Multiple (LCM) of 48853 and 48860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48853 and 48860. First we will calculate the prime factors of 48853 and 48860.

Prime Factorization of 48853

Prime Factorization of 48860

Now multiplying the highest exponent prime factors to calculate the LCM of 48853 and 48860.

LCM(48853,48860) = 7² × 997¹ × 2² × 5¹ × 349¹
LCM(48853,48860) = 340993940