What is the Least Common Multiple of 21858 and 21877?

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 21858 and 21877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21858 and 21877, than apply into the LCM equation.

GCF(21858,21877) = 1
LCM(21858,21877) = ( 21858 × 21877) / 1
LCM(21858,21877) = 478187466 / 1
LCM(21858,21877) = 478187466

Least Common Multiple (LCM) of 21858 and 21877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21858 and 21877. First we will calculate the prime factors of 21858 and 21877.

Prime Factorization of 21858

Prime Factorization of 21877

Now multiplying the highest exponent prime factors to calculate the LCM of 21858 and 21877.

LCM(21858,21877) = 2¹ × 3¹ × 3643¹ × 131¹ × 167¹
LCM(21858,21877) = 478187466