What is the Least Common Multiple of 7860 and 7871?

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 7860 and 7871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7860 and 7871, than apply into the LCM equation.

GCF(7860,7871) = 1
LCM(7860,7871) = ( 7860 × 7871) / 1
LCM(7860,7871) = 61866060 / 1
LCM(7860,7871) = 61866060

Least Common Multiple (LCM) of 7860 and 7871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7860 and 7871. First we will calculate the prime factors of 7860 and 7871.

Prime Factorization of 7860

Prime Factorization of 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 7860 and 7871.

LCM(7860,7871) = 2² × 3¹ × 5¹ × 131¹ × 17¹ × 463¹
LCM(7860,7871) = 61866060