What is the Least Common Multiple of 7834 and 7840?

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 7834 and 7840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7834 and 7840, than apply into the LCM equation.

GCF(7834,7840) = 2
LCM(7834,7840) = ( 7834 × 7840) / 2
LCM(7834,7840) = 61418560 / 2
LCM(7834,7840) = 30709280

Least Common Multiple (LCM) of 7834 and 7840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7834 and 7840. First we will calculate the prime factors of 7834 and 7840.

Prime Factorization of 7834

Prime Factorization of 7840

Now multiplying the highest exponent prime factors to calculate the LCM of 7834 and 7840.

LCM(7834,7840) = 2⁵ × 3917¹ × 5¹ × 7²
LCM(7834,7840) = 30709280