What is the Least Common Multiple of 21986 and 22000?

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 21986 and 22000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21986 and 22000, than apply into the LCM equation.

GCF(21986,22000) = 2
LCM(21986,22000) = ( 21986 × 22000) / 2
LCM(21986,22000) = 483692000 / 2
LCM(21986,22000) = 241846000

Least Common Multiple (LCM) of 21986 and 22000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21986 and 22000. First we will calculate the prime factors of 21986 and 22000.

Prime Factorization of 21986

Prime Factorization of 22000

Now multiplying the highest exponent prime factors to calculate the LCM of 21986 and 22000.

LCM(21986,22000) = 2⁴ × 10993¹ × 5³ × 11¹
LCM(21986,22000) = 241846000