What is the Least Common Multiple of 7869 and 7875?

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 7869 and 7875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7869 and 7875, than apply into the LCM equation.

GCF(7869,7875) = 3
LCM(7869,7875) = ( 7869 × 7875) / 3
LCM(7869,7875) = 61968375 / 3
LCM(7869,7875) = 20656125

Least Common Multiple (LCM) of 7869 and 7875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7869 and 7875. First we will calculate the prime factors of 7869 and 7875.

Prime Factorization of 7869

Prime Factorization of 7875

Now multiplying the highest exponent prime factors to calculate the LCM of 7869 and 7875.

LCM(7869,7875) = 3² × 43¹ × 61¹ × 5³ × 7¹
LCM(7869,7875) = 20656125