What is the Least Common Multiple of 21971 and 21978?

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 21971 and 21978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21971 and 21978, than apply into the LCM equation.

GCF(21971,21978) = 1
LCM(21971,21978) = ( 21971 × 21978) / 1
LCM(21971,21978) = 482878638 / 1
LCM(21971,21978) = 482878638

Least Common Multiple (LCM) of 21971 and 21978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21971 and 21978. First we will calculate the prime factors of 21971 and 21978.

Prime Factorization of 21971

Prime Factorization of 21978

Now multiplying the highest exponent prime factors to calculate the LCM of 21971 and 21978.

LCM(21971,21978) = 127¹ × 173¹ × 2¹ × 3³ × 11¹ × 37¹
LCM(21971,21978) = 482878638