What is the Least Common Multiple of 21880 and 21895?

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 21880 and 21895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21880 and 21895, than apply into the LCM equation.

GCF(21880,21895) = 5
LCM(21880,21895) = ( 21880 × 21895) / 5
LCM(21880,21895) = 479062600 / 5
LCM(21880,21895) = 95812520

Least Common Multiple (LCM) of 21880 and 21895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21880 and 21895. First we will calculate the prime factors of 21880 and 21895.

Prime Factorization of 21880

Prime Factorization of 21895

Now multiplying the highest exponent prime factors to calculate the LCM of 21880 and 21895.

LCM(21880,21895) = 2³ × 5¹ × 547¹ × 29¹ × 151¹
LCM(21880,21895) = 95812520