What is the Least Common Multiple of 7845 and 7863?

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 7845 and 7863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7845 and 7863, than apply into the LCM equation.

GCF(7845,7863) = 3
LCM(7845,7863) = ( 7845 × 7863) / 3
LCM(7845,7863) = 61685235 / 3
LCM(7845,7863) = 20561745

Least Common Multiple (LCM) of 7845 and 7863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7845 and 7863. First we will calculate the prime factors of 7845 and 7863.

Prime Factorization of 7845

Prime Factorization of 7863

Now multiplying the highest exponent prime factors to calculate the LCM of 7845 and 7863.

LCM(7845,7863) = 3¹ × 5¹ × 523¹ × 2621¹
LCM(7845,7863) = 20561745