What is the Least Common Multiple of 7840 and 7846?

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 7840 and 7846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7840 and 7846, than apply into the LCM equation.

GCF(7840,7846) = 2
LCM(7840,7846) = ( 7840 × 7846) / 2
LCM(7840,7846) = 61512640 / 2
LCM(7840,7846) = 30756320

Least Common Multiple (LCM) of 7840 and 7846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7840 and 7846. First we will calculate the prime factors of 7840 and 7846.

Prime Factorization of 7840

Prime Factorization of 7846

Now multiplying the highest exponent prime factors to calculate the LCM of 7840 and 7846.

LCM(7840,7846) = 2⁵ × 5¹ × 7² × 3923¹
LCM(7840,7846) = 30756320