What is the Least Common Multiple of 21869 and 21875?

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 21869 and 21875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21869 and 21875, than apply into the LCM equation.

GCF(21869,21875) = 1
LCM(21869,21875) = ( 21869 × 21875) / 1
LCM(21869,21875) = 478384375 / 1
LCM(21869,21875) = 478384375

Least Common Multiple (LCM) of 21869 and 21875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21869 and 21875. First we will calculate the prime factors of 21869 and 21875.

Prime Factorization of 21869

Prime Factorization of 21875

Now multiplying the highest exponent prime factors to calculate the LCM of 21869 and 21875.

LCM(21869,21875) = 19¹ × 1151¹ × 5⁵ × 7¹
LCM(21869,21875) = 478384375